Oops! Two coins are tossed, that both land heads up? Two coins are tossed, that the two coins show the same side up (both heads or both tails)? Three coins are tossed, that the three coins all land heads up? Three coins are tossed, that the three coins show two heads and one tail? 1 3 Three coins are tossed, that the three coins all show the same side up (all 3 heads or all 3 tails)? Four coins are tossed, that the four coins all show the same side up (all heads or all tails)? 5 6 Four coins are tossed, that the four coins all land heads up? Four coins are tossed, that the four coins show one head and 3 tails? A quarter, a nickel, and a dime are in a bank that the quarter falls out first and the nickel falls out second? 7 8 9 Classroom Strategies Blackline Master IV - 17 Page 169
Oops! Two dice are rolled hat is the probability that the first one shows and the nd one shows? Two dice are rolled hat is the probability that the first one is less than 3 and the nd one is more than? Two dice are rolled, that the first one is even and the second one is odd? Two dice are rolled hat is the probability that the two dice show the same number? 10 11 1 Two dice are rolled hat is the probability that the first one is and the second one is greater than or equal to? Two dice are rolled hat is the probability that the first one is less than 3 and the second shows an odd number? 13 1 15 Three dice are rolled hat is the probability that all three show a number one? Three dice are rolled hat is the probability that all three dice show the same number? Three dice are rolled hat is the probability that the first one is even, the second one is a six, and the last one is greater than? 16 17 18 Page 170 Classroom Strategies Blackline Master IV - 18
Oops! Two of the five students below are chosen randomly to attend a meeting hat is the probability that Dora is first and a boy is nd? Two of the five students below are chosen randomly to attend a meeting hat is the probability that a boy is picked 1 st and a girl is nd? Two of the five students below are chosen randomly to attend a meeting hat is the probability both names begin with D? Dora Roy Don Two of the five students below are chosen randomly to attend a meeting hat is the probability both are girls? Don Don Dora Dora Dolly Dolly Dolly David David Roy David Roy 19 0 1 Two of the five students below are chosen randomly to attend a meeting hat is the probability that both are boys? Two of the five students below are chosen randomly to attend a meeting hat is the probability that Don is first and Dolly is nd? Dora Don Don Don Dora Dora Dolly Dolly Dolly Roy David David David Roy Roy 3 Three of the five students Three of the five students Three of the five students below are chosen below are chosen below are chosen randomly to attend a randomly to attend a randomly to attend a meeting hat is the meeting hat is the meeting hat is the probability that all 3 are probability all 3 have probability that Roy is boys? names beginning with D? first, Dolly nd, and David 3 rd? Dora Roy Don Don Don Dora Dora Dolly Dolly Dolly Roy Roy David 5 David 6 David 7 Classroom Strategies Blackline Master IV - 19 Page 171
Oops! If two gumballs are purchased, what is the probability of both green? If two gumballs are purchased, what is the probability of both white? If two gumballs are purchased, what is the probability of both yellow? R umballs 1 Red reen 3 ellow hite R umballs 1 Red reen 3 ellow hite R umballs 1 Red reen 3 ellow hite 8 9 30 If two gumballs are purchased, what is the probability of red first and yellow second? R umballs 1 Red reen 3 ellow hite If three gumballs are purchased, what is the probability of all 3 yellow? R umballs 1 Red reen 3 ellow hite If two gumballs are purchased, what is the probability of yellow first and white second? R umballs 1 Red reen 3 ellow hite If three gumballs are purchased, what is the probability of all 3 white? umballs 1 Red reen 3 ellow hite If two gumballs are purchased, what is the probability of red first and green second? R umballs 1 Red reen 3 ellow hite 31 3 33 R If three gumballs are purchased, what is the probability of getting the red ball as one of the three? R umballs 1 Red reen 3 ellow hite 3 35 36 Page 17 Classroom Strategies Blackline Master IV - 0
Oops! If the are placed in a hat and two drawn out, what is the probability that both are blue? If the are placed in a hat and two drawn out, what is the probability of a vowel first and a consonant second? If the are placed in a hat and two drawn out, what is the probability of an E first and an A second? ELA I NE ALAN hite Blue ELA I NE ALAN hite Blue ELA I NE ALAN hite Blue 37 38 39 If the are placed in a hat and two drawn out, what is the probability of an L first and an N second? If the are placed in a hat and two drawn out, what is the probability of an E first and a vowel second? If the are placed in a hat and two drawn out, what is the probability of an I first and a white card second? ELA I NE ALAN hite ELA I NE ALAN Blue If the are placed in a hat and two drawn out, what is the probability of a white card first and an E second? hite ELA I NE ALAN Blue ELA I NE ALAN Blue hite hite 0 1 Blue If the are placed in a hat and three drawn out, what is the probability of all 3 A s? ELA I NE ALAN hite Blue If the are placed in a hat and three drawn out, what is the probability of all 3 white? ELA I NE ALAN hite Blue 3 5 Classroom Strategies Blackline Master IV - 1 Page 173
Oops! If the spinner below is spun twice, what is the probability that it lands on a 3 first, and a second? If the spinner below is spun twice, what is the probability that it lands a both times? If the spinner below is spun twice, what is the probability that it lands on a 3 both times? 3 1 3 1 3 1 6 7 8 If the spinner below is spun twice, what is the probability that it lands on a first and a second? If the spinner below is spun twice, what is the probability that it lands on a 1 first, a second, and a 3 third? The spinner below was spun ten times, and it landed on 1 each time hat is the probability that it will land on a 1 the next time it s spun? If the spinner below is spun 3 times, what is the probability that it lands on a 3 all 3 times? If the spinner below is spun 3 times, what is the probability that it will land on a 1 each time? 3 1 3 1 3 1 9 50 51 If the spinner below is spun 3 times, what is the probability that it will land on the first times and on 3 the last time? 3 1 3 1 3 1 5 53 5 Page 17 Classroom Strategies Blackline Master IV -
Name Date Oops! Answers 1 1 10 1 36 19 3 0 8 1 5 1 11 1 9 0 3 10 9 15 3 1 8 1 1 1 3 5 30 1 15 3 8 13 1 6 1 10 31 1 30 5 1 1 5 36 3 3 10 3 15 6 1 8 15 1 6 1_ 0 33 1 5 7 1 16 16 1_ 16 5 1 10 3 1 10 8 1 17 1 36 6 5 35 1 30 9 1 6 18 1 36 7 1 60 36 3 10 37 1 3 38 15 39 1 15 0 5 1 1 9 _ 5 3 5 1 10 5 1 30 6 1 8 7 1 8 1 16 9 1 1 50 1 51 1 16 5 1 36 53 1 7 5 1 1 Classroom Strategies Blackline Master IV - 3 Page 175
Oops! ame Board Free Turn Oops! Finish Start Slide Ahead Oops! 5 0 3 1 Slide Ahead Free Turn Slide Ahead Oops! Free Turn Page 176 Classroom Strategies Blackline Master IV -
Name Date Fraction Cubes and Probability Denominator 5 6 7 8 9 1 3 Numerator 1 3 5 6 1 3 5 6 1 3 5 6 5 5 5 5 5 5 1 3 5 6 6 6 6 6 6 6 1 3 5 6 7 7 7 7 7 7 1 3 5 6 8 8 8 8 8 8 1 3 5 6 9 9 9 9 9 9 1 Find the probability that the fraction is not in lowest terms Numerator 5 6 7 Here is a fraction chart made from a numerator cube containing numbers from 1-6 and a denominator cube containing numbers from -9 Denominator Make new number cubes Let the numerator cube contain numbers 5-10 and the denominator cube contain numbers 5, 8, 10, 1, 17, 0 Complete the chart and answer the questions below Find the probability that the numerator is divisible by by 5 3 Find the probability that the denominator is divisible by by 5 Find the probability that the numerator is divisible by or 5 5 Find the probability that the denominator is divisible by or 5 6 Find the probability that the numerator is divisible by and 5 7 Find the probability that the numerator is divisible by and the denominator is divisible by 5 8 Find the probability that the denominator is divisible by and the numerator is divisible by 5 9 Roll your number cubes 60 times and record the fractions you created How do the experimental results compare with the theoretical probabilities? Classroom Strategies Blackline Master IV - 5 Page 177
Page 178 Classroom Strategies Blackline Master IV - 6 Fraction Cubes and Probability
Fraction Cubes and Probability Classroom Strategies Blackline Master IV - 7 Page 179
Name Date Planet Collector Cards Captain Krypton cereal comes with a super-duper 3-d holographic planet picture card in each box There are 10 in all, one for each planet, and one for the Asteroid Belt ou want to collect them all How many boxes of cereal will you need to buy? Do you think you could get the entire set by buying only ten boxes? Do the experiment below to find out Use the spinner below to determine which card you get when you buy a box of Captain Krypton cereal Each time you spin, put a tally mark by that planet s name hen you get at least one mark for each of the, count how many times you had to spin This is an experimental result for how many boxes of cereal you would have to buy to get the entire set Do the experiment three times Result from trial 1: : 3: Venus Mercury Pluto Neptune Uranus Earth Mars Asteroids Jupiter Saturn Mercury Venus Earth Mars Asteroids Jupiter Saturn Uranus Neptune Pluto 1) ) 3) Page 180 Classroom Strategies Blackline Master IV - 8
Name Date Planet Collector Cards (cont) Combine your three trials with those of everyone else in the class hat is the median number of boxes required? hat is the mean number of boxes required? Is there a mode number of boxes required? Complete the frequency distribution table below If necessary, extend the chart Boxes bought How many different? 10-1 15-19 0-5-9 30-3 35-39 0-5-9 Make a statement about how many boxes you could expect to buy to collect the entire set of Classroom Strategies Blackline Master IV - 9 Page 181
Page 18 Classroom Strategies Blackline Master IV - 30
Name Date HIH ROLLERS Complete the chart for the samplespace for rolling two, fair number cubes 1 3 5 6 1 3 5 6 (1,1) (1,) Determine these probabilities: 1) P(rolling an even sum) = ) P( on a single cube)= 3) P(a sum of 7) = ) P(sum is a prime) = 5) P( sum < 10) = 6) P( sum is a perfect square) = 7) P(sum is a power of ) = 8) P(sum is a factor of 100) = Classroom Strategies Blackline Master IV - 31 Page 183
O FOR THE OLD!! START FINISH!! Spin dots and move ahead ; spin white or dashes and mov ahead 1 Spin dashes and move ahead 3; otherwise stay put Spin a prime to move ahead ; spin any other number and move 1 Spin a power of and go ahead 3; spin any other number and go back! Spin dots and move up ; otherwise move ahead 1 Spin dashes and move up ; otherwise stay put Spin white to move ahead ; if not go back 1 Spin dashes to finish; otherwise wait here Spin a perfect square to move up 1; if not go back Move ahead 3 if you spin dots; otherwise fall back 1 Spin a prime to stay put Spin a perfect square and go Spin a power of and go back Spin a prime to zip ahead ; anything else move up 1 Page 18 Classroom Strategies Blackline Master IV - 3
3 9 100 5 56 13 36 11 3 81 Spinner A Practice your probability skills as you O FOR THE OLD!! ou may choose to use either spinner for each turn 9 Spinner B 18 7 Classroom Strategies Blackline Master IV - 33 Page 185
Name Date Spinner 1 Sample Space: { } Spinner Sample Space: { } P(Spinning a 1) P(Spinning a 1) P(Spinning a number > 5) P(Spinning a number > 5) P(Spinning an even number) P(Spinning an even number) P(Spinning an odd number) P(Spinning an odd number) P(Spinning a prime number) P(Spinning a prime number) P(Spinning a number < 3) P(Spinning a number < 3) P(Spinning a 6) P(Spinning a 6) Page 186 Classroom Strategies Blackline Master IV - 3