Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Consider the experiment of selecting a playing card from a deck of 52 playing ca

ID: 3046168 • Letter: C

Question

Consider the experiment of selecting a playing card from a deck of 52 playing cards. Each card corresponds to a sample point with a 1/52 probability.

How many sample points are there in the event that an ace is selected?
  

How many sample points are there in the event that a club is selected?
  

How many sample points are there in the event that a face card ( jack, queen, or king) is selected?
  

Find the probabilities associated with each of the events in parts (a), (b), and (c) (to 2 decimals).

(a) Ace (b) Clubs (c) Face card

Explanation / Answer

a) Total sample points in the event that an ace is selected = 4

b) Total sample points in the event that a club is selected = 13

c) Total sample points in the event that a face card is selected = 12

d) P(ace) = 4/52 = 1/13 = 0.08

P(Clubs) = 13/52 = 1/4 = 0.25

P(Face card) = 12/52 = 3/13 = 0.23