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If you pick a card from a suttled stund and deck what is the probability of picking an Ace or a club? 3) If you vell a pair of dice, what is the perisability of hing a sum ge hij wee hand is 7 to

User FreshD
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1 Answer

5 votes

You have two events:

A: pick an ace

B: pick a club

A suffled standard has: 52 cards.

4 aces

13 clubs

As the events A and B are not mutually exclusive (can happen at the same time) the probability is:


P(A\text{ or B) =}P(A)+P(B)-P(A\text{ and B)}

Probability of A: #aces/#cards = 4/52

Probability of B: #clubs/#cards = 13/52

Probability of A and B: #ace clubs/#cards = 1/52

Then the probability of pick an ace or a club is:


P(A\text{ or B) =}(4)/(52)+(13)/(52)-(1)/(52)=(4+13-1)/(52)=(16)/(52)=(4)/(13)

Then, the probability is 4/13

User Hawklike
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