If x denotes the number of sixes in four consecutive throws of a dice, then P(x = 4) is

1/1296

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4/6

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1295/1296

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Solution

The correct option is A
1/1296

Given: n=x=number of consecutive throws=4
So, p= ⅙. q= ⅚
By binomial distribution:
P(X= 4)= ⁴C₄ (⅙)⁴ (⅚)^4-4
= (1) (⅙)⁴ (1)
= (⅙)⁴= 1/1296.
Final answer: 1/1296

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