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A standard deck of cards is made up of four suits: diamonds, spades, hearts, and clubs. What is the probability that you draw a diamond or spade from a standard deck of cards?
A)1/8
B)1/4
C) 1/2
D) 2/3

Respuesta :

kmc060077

Answer:

1/2

Step-by-step explanation:

there are 4 suits , and we’re looking for 2 of them ( 2/4==1/2)

Probability of drawing a diamond or spade is equals to (1 / 2).

What is probability?

" Probability is the branch of mathematics which is defined as the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability = [tex]\frac{number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

Total number of cards = 52

Number of suits = 4

Number of cards in each suit =13

'A 'represents the probability of  diamond cards

'B' represents the probability of spade cards

Substitute the value in the formula to get the probability of each.

P(A) = 13 / 52

        = 1 / 4

P(B) = 13 / 52

       = 1 / 4

Probability of diamond or spade = P(A∪B)

A and B are disjoint sets.

P(A∩B) = 0

Therefore,

P(A∪B) = P(A) + P(B)

            = (1 / 4) + (1 /4)

            = 1 / 2

Hence, we conclude that Option(C) is the correct answer.

Learn more about probability here

https://brainly.com/question/14210034

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