x O O 3 O 05. Questions on Conditional Probability Q1. The probability that it will rain on a day in June is 0.
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1 Quesions on Condiional Probabiliy Q1. The probabiliy ha i will rain on a day in June is 0.2 When i rains he probabiliy ha my ennis mach is cancelled is 0.7 When i does no rain, he probabiliy ha my ennis mach is no cancelled is 0.95 (a) Complee he probabiliy ree diaram for his informaion O 3 O 05 O 0.95 (b) Work ou he probabiliy ha, on a day in June, i does no rain and my ennis mach is cancelled. 0. x (Toal for quesion = 5 marks) Q2. There are couners in a box. The leer A is on 6 of he couners. The leer is on he oher 2 couners. Sally akes a random a couner from he box. She keeps he couner. Then Tina akes a random a couner from he box.
2 (a) Complee he probabiliy ree diaram. Sally Tina A Z 7 7 A (b) Work ou he probabiliy ha boh Sally and Tina ake a couner wih he leer A on i. f x or s (c) Work ou he probabiliy ha a leas one couner wih he leer A on i is aken. 1 PC or f x f x f i l Z a Ef SEE or (Toal for quesion = marks)
3 Q3. These 6 coins are in a box. Priesh akes a random 2 coins from he box. Work ou he probabiliy ha he oal value of he 2 coins is a leas 40p. Q x zo Ex To Ex E G f 30 (Toal for quesion = 4 marks) There are 11 irls and boys in a ennis club. Jake is oin o pick a random a eam from he ennis club. The eam will have wo players. Work ou he probabiliy ha Jake will pick wo boys or wo irls for he eam X G s if E 19 To G no E E or E 3 (Toal for Quesion is 4 marks)
4 Q5. There are 7 blue couners, 3 reen couners and 1 red couner in a ba. There are no oher couners in he ba. Huber akes a random 2 couners from he ba. (a) (b) Q6. Work ou he probabiliy ha boh couners are blue. F TT fo Es a r Work ou he probabiliy ha he 2 couners are differen colours ar Add o or 3 e Rv so 1 G G 11 no To 31 ru o Fo fo 57 (Toal for quesion = 6 marks) Here are 9 cards. Each card has a shape on i. Circles 2 Squares 4 Trianles 3 n a ame he cards are urned over so ha he shapes are hidden. The cards are hen mixed up. Kaie urns over a random wo of he cards. Work ou he probabiliy ha hese wo cards have differen shapes on hem. You mus show all your workin.
5 z C C Ex z i s s axe z 9 T T 4 Ez P oh he same Zz 2 f 2 P Differen P Same or p (Toal for quesion = 4 marks) Q7. Paul has cards. There is a number on each card. Paul akes a random 3 of he cards. He adds oeher he 3 numbers on he cards o e a oal T. Work ou he probabiliy ha T is an odd number. 2 even 6 odd o f x x 6 O T LEE LEE o her G x 6 6 O 5460 E TT he f x f F 1 or f x ex 6 (Toal for Quesion is 4 marks) answer 5 or
6 Q. There are 12 couners in a ba. There is an equal number of red couners, blue couners and yellow couners in he ba. There are no oher couners in he ba. 3 couners are aken a random from he ba. (a) Work ou he probabiliy of akin 3 red couners. 4 of each x 7 x O The 3 couners are pu back ino he ba. Some more couners are now pu ino he ba. There is sill an equal number of red couners, blue couners and yellow couners in he ba. There are no couners of any oher colour in he ba. 3 couners are aken a random from he ba. (b) s i now less likely or equally likely or more likely ha he 3 couners will be red? You mus show how you e your answer. More likely as successive probabiliies in he calculaion decrease less when here are more couners F X (Toal for quesion = 4 marks)
7 Q9. Nomusa has 30 swees. She has 1 frui swees 7 aniseed swees 5 min swees Nomusa is oin o ake a random wo swees. Work ou he probabiliy ha he wo swees will no be he same ype of swee. You mus show all your workin. 3061f F Q10. o 6 az P Same A 29 A P Daff Zo M M (Toal for quesion = 4 marks) There are six coins in a ba. The value of each coin is shown below. Laura akes a random a coin from he ba and keeps i. Fahmida hen akes a random a coin from he ba and keeps i. Calculae he probabiliy ha Fahmida's coin has a reaer value han Laura's coin. 1 F L o X 6 F sop E El 72 f is Fo h Top Jop F zz Ex's Ei 45 sop (Toal for quesion = 3 marks)
Questions on Conditional Probability
Questions on Conditional Probability Q1. The probability that it will rain on a day in June is 0.2 When it rains the probability that my tennis match is cancelled is 0.7 When it does not rain, the probability
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