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Question

Mathematics Question on Conditional Probability

If a card is drawn from a well shuffled pack of 52 cards, then the probability that it is a spade or queen is

A

1752\frac{17}{52}

B

1552\frac{15}{52}

C

413\frac{4}{13}

D

313\frac{3}{13}

Answer

413\frac{4}{13}

Explanation

Solution

P(SQ)=1352+452152=1652=413P\left(S\cup Q\right) = \frac{13}{52}+ \frac{4}{52}- \frac{1}{52}= \frac{16}{52} = \frac{4}{13}