One card is drawn at random from a well–shuffled standard pack of playing cards

MATHEMATICS · Subjective · CBSE · Mathematics · Probability · Probability

Problem

One card is drawn at random from a well–shuffled standard pack of

52

playing cards. Let A : “the card is a Heart” B : “the card is a face card (Jack, Queen, or King of any suit)” Answer the following: (i) Calculate

P(A)

P(B)

and

P(A\cap B)

. (ii) Using the results of (i), determine whether events

A

and

B

are independent. (iii) State whether the same pair of events is mutually exclusive, giving a short justification.