Question

Find the probability distribution of the number of successes in two toves of a die where a success is define as:- Six appeared on at least one die.

Options

• `1/9`

• 11

• `25/36`

• `11/36`

Answer 1

`11/36`

Explanation:

Zero success = 6 does not appear on any die.

= 1, 2, 3, 4, 5 appear on both die

∴ Number of such cases = 25

P(0) = `25/36`

(1) Success ⇒ 6 appears on one dice and 1, 2, 3, 4, 5 appears

(2) Success ⇒ 6 appears on both dice (6, 6).

Number of such cases = 1.

Number of cores wl:ten there is at least one 'six' appears = 10 + 1 = 11

∴ Probability of getting at least 1 six = `11/36`.

∴ Pobability distribution is

X	0	1
P(x)	`25/36`	`11/36`