Question

A standard deck of cards contains 52 cards. One card is selected from the deck. ​(a) Compute the probability of randomly selecting aa clubclub or spadespade. ​(b) Compute the probability of randomly selecting aa clubclub or spadespade or heartheart. ​(c) Compute the probability of randomly selecting aa twotwo or diamonddiamond.

Answer 1

a) 1/2 = 50%

b) 3/4 = 75%

c) 1 / 52 or 1,9%

Explanation:

In a standard deck of cards, there are 52 cards in total:

13 are hearts, 13 are diamonds, 13 are clubs and 13 are spades.

​(a) Compute the probability of randomly selecting a club or spade

How many cards are a club or a spade?

C = 13 clubs + 13 spades = 26 cards

Out of the 52 total, that means that:

P (club or spade) = 26/52 = 1/2 = 50%

​(b) Compute the probability of randomly selecting a club or spade or heart. ​

How many cards are a club or a spade?

C = 13 clubs + 13 spades + 13 hearts = 39 cards

Out of the 52 total, that means that:

P (club or spade or heart) = 39/52 = 3/4 = 75%

(c) Compute the probability of randomly selecting a two or diamond.

There's only ONE two of diamond in regular deck of cards, so...

P(2 of diamond) = 1 / 52 or 1,9%