Question

Suppose you have a 1/10 chance of winning with a scratch-off lottery ticket. If you buy 4 tickets, what is the probability of winning with all 4?

Answer 1

1/10 chance on winning with 1 ticket...so winning with 4 tickets =
1/10 * 1/10 * 1/10 * 1/10 = 1/(10^4) = 1/10,000

Answer 2

1/10000

Explanation:

Suppose you have a 1/10 chance of winning with a scratch-off lottery ticket.

If you buy 4 tickets

Probability of winning 1 ticket = 1/10

For 4 tickets we find the probability of every ticket

probability (winning first ticket)=1/10

probability (winning 2nd ticket)=1/10

probability (winning 3rd ticket)=1/10

probability (winning 4th ticket)=1/10

P(winning all 4) =
`(1)/(10) *(1)/(10) *(1)/(10) *(1)/(10) = (1)/(10000)`