Question

You have a fair, well-shuffled deck of 52 cards. It consists of four suits. The suits are clubs, diamonds, hearts and spades. There are 13 cards in each suit consisting of 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king) and A (ace) of that suit. An experiment consists of drawing a card followed by the roll of a dice. a. Let A be the event that a H (heart) card is picked first, followed by landing a 5 on a roll of a dice. Find P(A). (Round to three decimal places)

Answer 1

0.244

Explanation:

Number of suits = 4 ( clubs, diamonds, hearts and spades )

number of cards in each suit = 13 , since there is a heart in every suit

The probability of picking a heart ( h ) = 1/13

probability of landing a 5 on a roll of dice (d ) = 1/6

Therefore the probability of A heart is picked and a 5 is landed on a roll of dice

P(A) = P( h ) and P( d ). This is because the events are independent of each other

= 1/13 + 1/6

= 0.0769 + 0.1667 = 0.2436 ≈ 0.244