The probability that a contestant's final winnings exactly $2,000 in one of the following two cases is 0.32.
<h3>How to find probability ?</h3>
Exactly $2000 final winnings is possible only in one of the following two cases
1) The chosen card is marked $1000 and then red chip is selected. Because red chip doubles contestant's $1000 base amount, and makes it $2000.
- Since two cards of the five cards are marked $1000, the probability of choosing $1000 marked card is 2/5
- Since three of five chips is red, the probability of choosing red chips is 3/5
Then the probability of both choosing $1000 marked card and red chip is:
2/5 × 3/5 = 6/25
2) The chosen card is marked $2000 and then white chip is selected. Because white chip makes the contestant's final winning remain the same as base amount, which is $2000
- Since one card of the five cards are marked $2000, the probability of choosing $2000 marked card is 1/5
- Since two of five chips is white, the probability of choosing red chips is 2/5
Then the probability of both choosing $2000 marked card and white chip is:
1/5 × 2/5 = 2/25
The probability that a contestant's final winning is the sum of probabilities of these two cases:
6/25 x 2/25 = 8/25 = 0.32
To learn more about probability refer :
brainly.com/question/251701
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