Question

Two cards are drawn from a standard deck of 52 cards. What is the probability of drawing a 9 or a diamond?

(Hint: In a standard deck of 52 cards, each card has 4 suits: hearts, diamonds, spades, and clubs.)

7⁄52 = 13.5%

17⁄52 = 32.7%

1⁄4 = 25%

4⁄13 = 30.8%

2⁄13 = 15.4%

Answer 1

30.8%

Explanation:

This is the right is the actual right answer.

Answer 2

`(17)/(52)=32.7\%`

Explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

so

Let

x------> size of the event space

y-----> size of the sample space

so

`P=(x)/(y)`

step 1

Find the probability of drawing a 9

In this problem we have

`x=4`

`y=52`

substitute

`P=(4)/(52)`

step 2

Find the probability of drawing a diamond

In this problem we have

`x=13`

`y=52`

substitute

`P=(13)/(52)`

step 3

Find the probability of drawing a 9 or a diamond

Adds the the probability of drawing a 9 plus the probability of drawing a diamond

so

`P=(4)/(52)+(13)/(52)=(17)/(52)=32.7\%`