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There are 13 cards with diamonds in a standard deck of 52 cards.What is the probability of drawing a diamond from a standard deck of cards AND getting tails uponflipping a coin?A) 3/4B) 1/2C) 1/8D) 1/4

Answer :

Answer: C) 1/8

Explanation

The probability is given by:

[tex]P=\frac{desired\text{ event}}{total\text{ events}}[/tex]

Thus, as we are asked for the probability of drawing a diamond from a standard deck of cards AND getting tails upon flipping a coin (independent events), we can calculate each probability of each event and then multiply them:

[tex]P(\text{ drawing a diamond})=\frac{13}{52}[/tex][tex]P(\text{getting tails})=\frac{1}{2}[/tex]

Independent probability:

[tex]\frac{13}{52}\cdot\frac{1}{2}=\frac{13}{104}=\frac{1}{8}[/tex]

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