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sesenic [268]
3 years ago
8

A standard deck of cards contains 52 cards. One card is selected from the deck. ​(a) Compute the probability of randomly selecti

ng 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.
Mathematics
1 answer:
Masja [62]3 years ago
7 0

Answer:

a) 1/2 = 50%

b) 3/4 = 75%

c)  1 / 52 or 1,9%

Step-by-step 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%

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