Question

Suppose you flip a coins and draw a card from a normal well-shuffled deck. What is the probability that you get heads or draw a face card (king, queen, jack): P(Heads or Face)

show work

Answer 1

let the event that you get heads be H

and the vent that you draw a face card be F

We have to fiind P(HF)

P(HF) = P(H) + P(F) - P(HF)

P(H) = 1/2

P(F) = 12/52 (since tbere are three face cards for each type and there are four types of cards which are spades, diamonds, clubs, hearts)

= 3/13

P(HF) = 1/2 * 3/13 = 3/26

Since they are indepdent events (happening of one event doesn't impact the happening of the other or they are not dependent on each other) P(HF) = P(H) * P(F)

so P(HF) = 1/2 + 3/13 - 3/26

= 0.5 + 0.230769 - 0.115385

= 0.615385