Question

From a deck of 52 cards, one card is drawn at random. Match the following subsets with their correct probabilities.

Answer 1

1.3/13(if you mean jacks queens and kings)
2.1/52
3.1/2
4.1/13
5.1/4

Answer 2

Answer:

• P(face card)=3/13

• P(seven of hearts)=1/52

• P(no black)=1/2

• P(king)=1/13

• P(diamond)=1/4

Step-by-step explanation:

We know that there are a total 52 cards out of which:

There are 12 face cards ( 4 kings,4 queen and 4 jack)

There are 4 pack:

13- spades     13- club     13-heart     13-diamond.

Out of which there are 26 black cards( 13 spade and 13 club)

There are 26 red cards( 13 heart and 13 diamond)

Now , we are asked to find the probability of each of the following,

1)

P(face card)

Since there are total 12 face cards out of 52 playing cards.

Hence,

P(face card)=12/52=3/13

2)

P( seven of hearts)

As there is just 1 seven of heart out pf 52 cards.

Hence,  P(seven of hearts)=1/52

3)

P(no black)

This means we are asked to find the probability of red card.

As there are 26 red card.

Hence P(no black)=26/52=1/2

4)

P(king)

As there are 4 kings out of 52 cards.

Hence, P(king)=4/52=1/13

5)

P(diamond)

As there are total 13 cards of diamond.

Hence,

P(diamond)=13/52=1/4