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Choosing Tickets with Replacement

APSTAT-LYOPJ6

A charity group decided to hold a raffle with $1{,}000\text{ tickets}$ in a large bin. Of the $1{,}000\text{ tickets}$, $150$ are winners.

If tickets are chosen with replacement, what is the probability a winner will be chosen by the fourth trial?

A

$0.522$

B

$0.478$

C

$0.092$

D

$0.056$

E

$0.002$