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Probability revision

Example Tom has a very old second hand car. The probability that he can get it started is 0.9 and the probability that it will breakdown before he gets to work is 0.2. Find the probability that he gets to work in the car without a breakdown. Probability revision. Example

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Probability revision

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  1. Example Tom has a very old second hand car. The probability that he can get it started is 0.9 and the probability that it will breakdown before he gets to work is 0.2. Find the probability that he gets to work in the car without a breakdown. Probability revision

  2. Example A fruit machine has three independent reels and pays out a jackpot of £100 when three apples are obtained. Each reel has 15 pictures. The first reel has 3 apples, the second has 4 apples and the third has 2 apples. Find the probability of winning the jackpot.

  3. Example In a group of five pupils, three of whom are girls, two pupils are selected at random one after the other. Find the probability that one will be a girl and one will be a boy.

  4. Example The performance of a climber is affected by the weather. When it rains on a mountain, he falls with a probability of , whereas in dry weather he falls with a probability of only . In the climbing season, the probability of rain on any day is . a) Find the probability that he doesn’t fall on a rainy day. b) What is the probability that he falls on the mountain on a day chosen at random?

  5. The probability that Aaron goes to the gym on a Saturday is 0.9 The probability that Dee goes to the gym on a Saturday is 0.6 (a) Calculate the probability that both Aaron and Dee do not go to the gym next Saturday. .......................................................................................................................................... .......................................................................................................................................... Answer ................................................................................ (3 marks) (b) If Dee goes to the gym on Saturday the probability that she goes on Sunday is 0.2 If Dee does not go to the gym on Saturday the probability that she goes on Sunday is 0.7 Calculate the probability that Dee goes to the gym on only one day next weekend. .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... ..........................................................................................................................................

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