If two dice are rolled , find the probability that

Minerva Kline

Minerva Kline

Answered question

2021-11-22

If two dice are rolled , find the probability that neither die shows a 2 on it .
probability=

Answer & Explanation

Provere

Provere

Beginner2021-11-23Added 18 answers

Step 1
When two dice are rolled the total number of possible outcomes are 36. Here the question is to find the probability to have a situation where neither of the dice show two on them.
This question can be solved as follows:
Probability that neither of the dice show two on it = 1- (Probability that at least one dice shows two on it )
Step 2
Number of out comes where we can have two on any of the dice are 11.
They are {(1,2),(3,2),(4,2),(5,2),(6,2),(2,1),(2,3),(2,4),(2,5),(2,6) ,(2,2)}
Probability that at least one of the dice show two on it (number of possible outcomes)(total number of outcomes)
Probability that at least one of the dice show two on it =1136
Step 3
Probability that neither of the dice show two on it = 1- (Probability that at least one dice shows two on it )
Probability that neither of the dice show two on it =11136=2536
Step 4
Therefore, probability that neither of the dice show 2536

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