Question

(C) What is the probability that it is a two or a club?

Answer 1

Deck of Cards: 52 total, 4 suits of 13 each. Clubs and Spades are black, Hearts and Diamonds are red. Jack (J), Queen (Q), and King (K) are face cards.

Clubs: 2 3 4 5 6 7 8 9 10 J Q K A

Spades: 2 3 4 5 6 7 8 9 10 J Q K A

Hearts: 2 3 4 5 6 7 8 9 10 J Q K A

Diamond: 2 3 4 5 6 7 8 9 10 J Q K A

Here, we use the probability formula to calculate the answer.

$\text{Probability of event = }\frac{N\text{umber of required outcomes}}{N\text{umber of possible outcomes}}$

Possible outcome = 52

We are to find the probability that it is a two or a club.

From 52 deck of cards, we have 4 twos and 13 clubs

Therefore,

The probability that it is a two or a club

$=\text{ }\frac{16}{52}$

Final answer = 0.3077 to 4 decimal places