Question

Use the following problem to answer questions 7 and 8. Carrie draws 5 cards simultaneously from a well-shuffled deck of 52 playing cards. 7. What is the probability that she chooses 3 spades and 2 cards that are not spades

Answer 1

The probability that she chooses 3 spades and 2 cards that are not spades is

0.08154

Explanation:

52 deck cards have 13 spades , 13 clubs , 13 diamond, 13 hearts

spades = 13

Non spades = 39

Selecting 3 spades = 13C3 (Using combination)

selecting 2 spades = 39C2

in total 5 cards are drawn = 52C5

Probability of drawing 5 cards (3spades+2 non spades)

=
`( 13C3*39C2)/(52C5)` = 0.08154