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label Statistics
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A fair die is rolled 4 times. What is the probability of having no 1 and no 2 among the rolls? Round your answer to three decimal places.

Oct 23rd, 2017

A fair die is rolled 6 times. What is the probability of having no 1 and no 2 among the rolls?
The probability of getting a 3, 4, 5 or 6 the 1st time is 4 ways out of 6, which is  or
multiplied by
the probability of getting a 3, 4, 5 or 6 the 2nd time, or
multiplied by
the probability of getting a 3, 4, 5 or 6 the 3rd time, or

multiplied by
the probability of getting a 3, 4, 5 or 6 the 4th time, or
multiplied by
the probability of getting a 3, 4, 5 or 6 the 5th time, or
multiplied by
the probability of getting a 3, 4, 5 or 6 the 6th time, or

thus

P(no1 and no2 in 6 rolls) = (2/3)^6 = 0.088

May 31st, 2015

May 31st, 2015

A fair die is rolled 4 times. What is the probability of having no 1 and no 2 among the rolls?
The probability of getting a 3, 4, 5 or 6 the 1st time is 4 ways out of 6, which is  or
multiplied by
the probability of getting a 3, 4, 5 or 6 the 2nd time, or
multiplied by
the probability of getting a 3, 4, 5 or 6 the 3rd time, or

multiplied by
the probability of getting a 3, 4, 5 or 6 the 4th time, or
(2/3)^4

thus

P(no1 and no2 in 6 rolls) = (2/3)^4 = 0.198

May 31st, 2015

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Oct 23rd, 2017
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Oct 23rd, 2017
Oct 24th, 2017
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