Consider the following experiment Rolling a pair of fair dic

Consider the following experiment: \"Rolling a pair of fair dice 10 times and recording the number of times we get a 7\"

9 The probability of rolling exactly 3 sevens is:?

Please show me your steps- What is the probability of rolling a 7 with each roll?

Solution

Probability of getting a seven is

(4,3) , (3,4) , (5,2) , (2,5) , (6,1) ,(1,6) = 6 cases

probabilty = 6/36 = 1/6

P(success) = 1/6 . Q = 5/6

10c3 * (1/6)^3 * (5/6)^7 --> binomial distribution

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