Question

A
card is drawn from a 52 card deck; then a second card is drawn;
then a third card is drawn. Find the probability of getting two
queens and then an ace.

a) With replacement?

b) Without replacement ?

Answer #1

A card is drawn from a 52 card deck; then a second card is drawn; then a third card is drawn. Find the probability of getting two queens and then an ace.

a) With replacement?

P[ getting two queens and then an ace ] = P[ drawing a queen ]*P[ drawing a queen ]*P[ drawing a ace ]

P[ getting two queens and then an ace ] = (1/13)*(1/13)*(1/13)

**P[ getting two queens and then an ace ] =
1/2197**

b) Without replacement ?

P[ getting two queens and then an ace ] = P[ drawing two queen ]*P[ drawing a ace ]

P[ getting two queens and then an ace ] = (1/13)*(3/51)*(4/50)

P[ getting two queens and then an ace ] = (1/13)*(1/17)*(2/25)

**P[ getting two queens and then an ace ] =
2/5525**

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