MATH SOLVE

5 months ago

Q:
# A bag contains 10 marbles numbered from 1 to 10. Two marbles are selected from the bag at the same time. Let event E = the two numbers are even. How many outcomes are in the complement of E? A.10B.20C.60D.80

Accepted Solution

A:

D) 80

because

total outcomes = 10 x 9 = 90

the numbers are even,

(2, 4), (2, 6), (2, 8), (2, 10), (4, 6), (4, 8), (4, 10), (6, 8), (6, 10), (8, 10)

The complement of E is when the two numbers are NOT even.

thus,

90 - 10 = 80

because

total outcomes = 10 x 9 = 90

the numbers are even,

(2, 4), (2, 6), (2, 8), (2, 10), (4, 6), (4, 8), (4, 10), (6, 8), (6, 10), (8, 10)

The complement of E is when the two numbers are NOT even.

thus,

90 - 10 = 80