Question

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

Answer 1

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:

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

Then, the probability is 4/13