Answer to Question #294240 in Statistics and Probability for Mubxerh

Question

A card is drawn at random from a pack of 52 cards.find the chance that, it is red it is king it is either red or a king

Answer 1

Total number of cards is 52.

Number of red cards is 26.

Number of kings is 4.

Therefore,

The probability that the card chosen is red is p(red)= ${26\over 52}={1\over2}$

The probability that the card chosen is a king is p(king)= ${4\over52}={1\over13}$

Note that 2 cards of king are red.

Therefore, the probability that the card chosen is either a red or a king is given as,

p(either red or a king)=${26+4-2\over52}={28\over52}={7\over13}$