Mathematics, 21.06.2019 15:50 annadson4589

Astandard deck of cards contains 52 cards. one card is selected from the deck. (a) compute the probability of randomly selecting a seven or king. (b) compute the probability of randomly selecting a seven or king or jack. (c) compute the probability of randomly selecting a queen or spade.

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Answer from: Paigex3

Total no. of cards = 52

No. of spade cards =13

Spade cards={2,3,4,5,6,7,8,9,10,K,Q,J,A}

No. of heart cards= 13

Heart cards={2,3,4,5,6,7,8,9,10,K,Q,J,A}

No. of diamond cards=13

Diamond cards cards={2,3,4,5,6,7,8,9,10,K,Q,J,A}

No. of club cards = 13

Club cards={2,3,4,5,6,7,8,9,10,K,Q,J,A}

a) Compute the probability of randomly selecting a seven or king.

Total no. of kings = 4

So, probability of getting a king = $\frac{\text{No. of kings}}{\text{Total no. of cards}}$

= $\frac{4}{52}$

= $\frac{1}{13}$

Total no. of cards of 7 = 4

So, probability of getting a 7 = $\frac{\text{No. of cards of 7}}{\text{Total no. of cards}}$

= $\frac{4}{52}$

= $\frac{1}{13}$

So, the probability of randomly selecting a seven or king = $\frac{1}{13}+\frac{1}{13}$

= $\frac{2}{13}$

b)Compute the probability of randomly selecting a seven or king or jack.

Total no. of kings = 4

So, probability of getting a king = $\frac{\text{No. of kings}}{\text{Total no. of cards}}$

= $\frac{4}{52}$

= $\frac{1}{13}$

Total no. of cards of 7 = 4

So, probability of getting a 7 = $\frac{\text{No. of cards of 7}}{\text{Total no. of cards}}$

= $\frac{4}{52}$

= $\frac{1}{13}$

Total no. of jack = 4

So, probability of getting a jack = $\frac{\text{No. of jack cards}}{\text{Total no. of cards}}$

= $\frac{4}{52}$

= $\frac{1}{13}$

So, the probability of randomly selecting a seven or king or jack:

= $\frac{1}{13}+\frac{1}{13}+\frac{1}{13}$

= $\frac{3}{13}$

c)Compute the probability of randomly selecting a queen or spade.

No. of queens = 4

So, probability of getting a queen = $\frac{\text{No. of queens}}{\text{Total no. of cards}}$

= $\frac{4}{52}$

= $\frac{1}{13}$

No. of spade cards = 13

So, probability of getting a spade = $\frac{\text{No. of spade cards}}{\text{Total no. of cards}}$

= $\frac{13}{52}$

= $\frac{1}{4}$

So, the probability of randomly selecting a queen or spade = $\frac{1}{13}+\frac{1}{4}$

= $\frac{17}{52}$

Answer from: Quest

50 % is the answer !

Answer from: Quest

i'm sorry i don't know

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Astandard deck of cards contains 52 cards. one card is selected from the deck. (a) compute the proba...

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