Question

Imagine a standard deck of cards with all the aces and twos removed. Find each probability below.

a. P (heart)

b. P(black)

c. P (face card)

d. P (not heart)​

Answer 1

Answer: See below

Explanation:

Event 1:

When the aces and twos (8 cards in total) are removed:
52 - 8 = 44 total cards

Since 2 cards (an ace and a two) were removed there are a total of 11 hearts

Probability: 11/44

P = 1/4 or 25%

Event 2:

Since 4 cards (2 aces and 2 two's) were removed there are a total of 22 blacks

Probability: 22/44

P = 1/2 or 50%

Event 3:

There are 12 face cards in the deck

Probability: 12/44

P = 3/11 or 27.27%

Event 4:

Probability of a heart + Probability of not a heart = 1 --> 100%

P(not a heart) = 1 - P(heart)

P = 1 - 1/4

P = 3/4 or 75%