1

Problem

If you randomly select two cards from a standard deck of 52 playing cards, what is the probability that both cards are aces?

2

Step

Probability of drawing the first ace:

→There are 4 aces and 52 total cards

→So the probability of drawing an ace first is \$4/(52)\$

3

Step

The probability of drawing the second ace after one ace is removed:

→After taking out the first ace, only 51 cards are remaining. There are also only 3 aces left since you don’t draw the first one back in.

→So, the probability of drawing another ace after taking out one already is \$3/(51)\$.

4

Step

Multiply the probabilities for independent events.

5

Step

The probability of drawing two aces from a deck of cards is.

6

Solution

Therefore the probability of drawing two aces from a deck of cards is \$1/(221)\$.

7

Sumup

Please summarize steps

Choices

8

Choice-A

This option is incorrect because \$1/(74)\$ is not equal and too far from the actual probability

Wrong \$1/(74)\$

9

Choice-B

This option is incorrect because the probability of drawing 2 aces from the deck of cards is not equal to 74

Wrong 74

10

Choice-C

This option is correct because \$1/(221)\$ is the actual probability of drawing two aces from a deck of cards

Correct \$1/(221)\$

11

Choice-D

This option is incorrect because 221 is not equal to \$1/(221\$ which is the actual probability of drawing 2 aces

Wrong 221

12

Answer

Option

C

13

Sumup

Please summarize choices