Question

A fair die is rolled five times. The probability is obtained one atleast 4 times

Answer 1

Answer:

13 / 3888

≈ 0.0033436  (approx)

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Step-by-step explanation:

# possible outcomes = 6⁵ = 7776

# ways of getting one at least 4 times

= ( # ways of getting one 5 times ) +  ( # ways of getting one exactly 4 times )

= 1 +  ( # ways of choosing which position is not "1" ) × ( # ways of choosing what goes in that position )

= 1 +  5 × 5

= 26

P(one at least 4 times)

= ( # ways of getting one at least 4 times ) / ( # possible outcomes )

= 26 / 7776

= 13 / 3888

≈ 0.0033436