8. a) Bag A Nadia must choose a ball from Bag A or Bag B. i) 2 The probability that she chooses Bag A is Bag A contains 5 white and 3 black balls. Bag B contains 6 white and 2 black balls. The tree diagram below shows some of this information. 7 P Bag A Bag B Bag B Find the values of p, q, r and s. 3 9 r S white ball black ball white ball black ball ii) Find the probability that Nadia chooses Bag A and then a white ball.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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8.
a)
Bag A
Nadia must choose a ball from Bag A or Bag B.
i)
2
The probability that she chooses Bag A is 3.
Bag A contains 5 white and 3 black balls.
Bag B contains 6 white and 2 black balls.
The tree diagram below shows some of this information.
P
Bag A
Bag B
Bag B
Find the values of p, q, r and s.
3
9
white ball
black ball
white ball
black ball
ii) Find the probability that Nadia chooses Bag A and then a white ball.
Transcribed Image Text:8. a) Bag A Nadia must choose a ball from Bag A or Bag B. i) 2 The probability that she chooses Bag A is 3. Bag A contains 5 white and 3 black balls. Bag B contains 6 white and 2 black balls. The tree diagram below shows some of this information. P Bag A Bag B Bag B Find the values of p, q, r and s. 3 9 white ball black ball white ball black ball ii) Find the probability that Nadia chooses Bag A and then a white ball.
iii) Find the probability that Nadia chooses a white ball.
Transcribed Image Text:iii) Find the probability that Nadia chooses a white ball.
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