SOLUTION: The sum of the probabilities of complementary events is equal to 1. Choose one answer. a. True b. False Question 3 Marks: 3 Thirty people were asked about their

Algebra ->  Probability-and-statistics -> SOLUTION: The sum of the probabilities of complementary events is equal to 1. Choose one answer. a. True b. False Question 3 Marks: 3 Thirty people were asked about their       Log On


   

Question 694295: The sum of the probabilities of complementary events is equal to 1.
Choose one answer.

a. True

b. False
Question 3
Marks: 3
Thirty people were asked about their favorite color, 10 said red, 15 said green, and 5 said blue. What is the probability that a person chosen has a favorite color of red or blue?
Choose one answer.

a. 50%

b. 83%

c. 33%

d. 67%

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
1.
answer:
a. true
The sum of the probabilities of complementary events is 1.
P(A) + P(A') = 1

2.

answer is: a. 50%
if 10 red,the probability a person chosen has a favorite color of red is 10%2F30=1%2F3=0.33333333333333333333333333333333
and if 5 blue, the probability a person chosen has a favorite color of blue is 5%2F30=1%2F6=0.16666666666666666666666666666667
so, the probability a person chosen has a favorite color of red and blue is ≈ 0.50 or 50%