# Two fair dice are rolled 5 times. Let the random variable x represent the number of times that the sum 2 occurs. The table below describes the probability distribution. Find the value of the missing probability.xP(x)00.8686157861214841 20.0070907411111957930.00020259260317702242.89418004538603e-0651.65381716879202e-08Would it be unusual to roll a pair of dice 5 times and get no 2s?(enter YES or NO) Explain your answer.

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Two fair dice are rolled 5 times. Let the random variable x represent the number of times that the sum 2 occurs. The table below describes the probability distribution. Find the value of the missing probability.

 x P(x) 0 0.868615786121484 1 2 0.00709074111119579 3 0.000202592603177022 4 2.89418004538603e-06 5 1.65381716879202e-08

Would it be unusual to roll a pair of dice 5 times and get no 2s?

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Step 1

Given info:

Here, n=5; p=1/36.

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