Question

Out of 7 lottery tickets 3 are prize-winning tickets. If someone buys 4 tickets what is the probability of not winning any prize at all?

Answer 1

`10.66%`

Explanation:

The probability of a ticket not containing a prize is `4/7` so if someone buys 4 tickets and we want to know the probability of ticket 1 and ticket 2 and ticket 3 and ticket 4 not winning then we are asking for the following:

`p(t_1 ^^t_2 ^^t_3^^t_4) =p(t_1)p(t_2)p(t_3)p(t_4)` Since these are mutually exclusive events. Thus

`(4/7)^4 = 10.66%`