Solution Found!
There are three clues labeled daily double on the game show Jeopardy. If three equally
Chapter 0, Problem 60(choose chapter or problem)
There are three clues labeled daily double on the game show Jeopardy. If three equally matched contenders play, what is the probability that: a. A single contestant finds all three daily doubles? b. The returning champion gets all three of the daily doubles? c. Each of the players selects precisely one of the daily doubles?
Questions & Answers
QUESTION:
There are three clues labeled daily double on the game show Jeopardy. If three equally matched contenders play, what is the probability that: a. A single contestant finds all three daily doubles? b. The returning champion gets all three of the daily doubles? c. Each of the players selects precisely one of the daily doubles?
ANSWER:Step 1 of 4
(a) The three contenders are equally matched, which implies that each of the contestant is equally likely to find one of the "daily doubles. Moreover, this then implies that each contender has 1 chance in 3 of finding the first daily double.
The probability is the number of favorable outcomes divided by the number of possible outcomes:
Assuming that the selection of a "daily double" does not depend on the selection of the other "daily doubles", it is appropriate to use the multiplication rule for independent events: