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Question

Mathematics Question on Multiplication Theorem on Probability

The probability of drawing a card which is at least a spade or a king from a well shuffled pack of cards is

A

313\frac{3}{13}

B

513\frac{5}{13}

C

413\frac{4}{13}

D

213\frac{2}{13}

Answer

413\frac{4}{13}

Explanation

Solution

P(AK)=1352+452152=1652=413P\left(A\cup K\right) = \frac{13}{52} + \frac{4}{52}-\frac{1}{52}=\frac{16}{52} = \frac{4}{13}