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(b) A student plays two games which she either wins or loses. The tree diagran below shows the probabilities of winning and losing each game. FIRST GAME SECOND GAME M 10 10 W 314 P 215 9 W W L W denotes 'wins game' i. Write down the values of p and q. You are given the student wins the second game. ii. Find the probability that she also wins the first game. L denotes 'loses game'

(b) A student plays two games which she either wins or loses. The tree diagran below shows the probabilities of winning and losing each game. FIRST GAME SECOND GAME M 10 10 W 314 P 215 9 W W L W denotes 'wins game' i. Write down the values of p and q. You are given the student wins the second game. ii. Find the probability that she also wins the first game. L denotes 'loses game'

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question 13 (a) Events X and Y are mutually exclusive. Explain what this means. (b) A student plays two games which she either wins or loses. The tree diagram below shows the probabilities of winning and losing each game. FIRST GAME 10 7 10 W SECOND GAME 4 Р SIN W W L denotes 'loses game' W denotes 'wins game' i. Write down the values of p and q. You are given the student wins the second game. ii. Find the probability that she also wins the first game. (c) Two events, A and B, are such that P(A) = 4x, P(B) = 6x and P(An B) = 3.6x (x = 0). Events A and B are independent. i. Find the value of x. ii. Using the value of x found in part i), write down P(A U B)'.
Transcribed Image Text:Question 13 (a) Events X and Y are mutually exclusive. Explain what this means. (b) A student plays two games which she either wins or loses. The tree diagram below shows the probabilities of winning and losing each game. FIRST GAME 10 7 10 W SECOND GAME 4 Р SIN W W L denotes 'loses game' W denotes 'wins game' i. Write down the values of p and q. You are given the student wins the second game. ii. Find the probability that she also wins the first game. (c) Two events, A and B, are such that P(A) = 4x, P(B) = 6x and P(An B) = 3.6x (x = 0). Events A and B are independent. i. Find the value of x. ii. Using the value of x found in part i), write down P(A U B)'.
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