Question

A pair of dice is thrown four times. If getting a doublet is considered a success then find the probability of two success.

विकल्प

• `1/6`

• `25/216`

• `4/3`

• `1/36`

Answer 1

`25/216`

Explanation:

When a pair of dice is thrown, a doublet may be obtained in 6 ways.

Total number of exhaustive cores = 36

∴ Probability of getting a doublet = `6/36 = 1/6`

∴ P = `1/6` and q = `5/6`

In 4 throws, probability of getting two success

= 4C₂ q²p²

= `""^4C_2 (5/6)^2 xx (1/6)^2`

= `(4 xx 3)/(1 xx 2) xx 25/36 xx 1/36`

= `25/(6 xx 36)`

= `25/216`