A single card is drawn at random from a well-shuffled standard deck of 52 playing cards

MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability

Problem

A single card is drawn at random from a well-shuffled standard deck of 52 playing cards. Define the following events:

A

: “the card drawn is red”,

B

: “the card drawn is a king”. (i) Find

P(A)

and

P(B)

. (ii) Determine

P(A \mid B)

. (iii) Decide whether the events

A

and

B

are independent, giving reasons for your answer.