Question

In a deck of playing cards, what is the

probability of drawing a red card, replacing it, and
then drawing a queen?

Answer 1

1/26

Explanation:

For probability, the numerator is the number of options for the specified property (red card/drawing a queen) and the denominator is the total number of options (in this case 52).

There are 26 red cards in a deck, the the probability of choosing a red card is
`(26)/(52)` or
`(1)/(2)`.

There are 4 queens in a deck, so the probability of choosing a queen is
`(4)/(52)` or
`(1)/(13)`.

To find the probability of getting these both, multiply the results, giving
`(1)/(26)`.

Answer 2

Explanation:

As the cards are being drawn with replacement, the events are independent. Thus we can find the probability by multiplying the probability of individual events.

There are 4 queens in a pack of 52 cards. So, probability of drawing a queen= 4/52=1/13

There are 26 red cards. So, probability of drawing a red card= 26/52=12

Required probability= 1/13×1/2=1/26