Contestants in a game show are each given three pairs of numbers (for example, 2-3, 5-6, and 6-1). A person in the audience is randomly selected to roll two dice, one white and one red, where white symbolizes the first number in the pair and red the second number. What is the probability that each player has of winning?

Outcomes of three pairs of numbers
As there are 2 dices and total outcomes from one is 6
So
6 * 6 = 36 possible outcomes
11,12,13,14,15,16
21,22,23,24,25,26
31,32,33,34,35,36
41,42,43,44,45,46
51,52,53,54,55,56
61,62,63,64,65,66

36 permutations are allowed to each contestant (23,56 and 61 for example)

Therefore his probability of winning is 3/36 = 1/12

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shivishivangi1679 shivishivangi1679 · Answer 2 · 2022-06-06T16:29:01+02:00

Contestants in a game show are each given three pairs of numbers (for example, 2-3, 5-6, and 6-1). The probability that each player has of winning would be 1/12.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

Contestants in a game show are each given three pairs of numbers (for example, 2-3, 5-6, and 6-1).

Outcomes of three pairs of numbers as there are 2 dices.

The total outcomes is 6

So

6 x 6 = 36 possible outcomes

11,12,13,14,15,16

21,22,23,24,25,26

31,32,33,34,35,36

41,42,43,44,45,46

51,52,53,54,55,56

61,62,63,64,65,66

here, 36 permutations are allowed to each contestant (23,56 and 61 for example)

Therefore, the probability of winning

= 3/36

= 1/12

Learn more about probability here;

https://brainly.com/question/11234923

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