Question

Katherine v

5 - "And" Probability for Dependent Events
Sophia Tuto
LEARNING OBJECTIVE: Calculate an "and" probability for dependent
events
"And" P.
SC
in a standard deck of cards what is the probability of drawing a black card
followed by drawing a heart? Answer choices are in the form of a
percentage, rounded to the nearest whole number
a.) 10
WHAT'S C
O b.) 26
This tutorial

In a standard deck of cards, what is the probability of drawing a black card followed by drawing a heart?

Answer 1

13/102

Explanation:

In a standard deck of 52 cards, there are 13 black spades, 13 black clubs, 13 red diamonds and 13 red hearts. There are 26 black cards in the deck of 52 cards.

Probability of drawing a black card = 26/52 = 1/2

Suppose we drew the black card. There are now only 51 cards left in the deck. ALL of the hearts are still there - 13 of them.

Probability of drawing a heart from this deck of 51 = 13/51

In general, for the probability of event A and then event B, we multiply.

1/2 x 13/51 = 13/102