Question

QUESTION 1

Questions 1-8 relate to the following information. Suppose a jar contains 7 blue jellybeans and 3 red jellybeans. What is the probability that the first jellybean is red? (Type your answer in decimal form, e.g. "0.5".)  

QUESTION 2

What is the probability that the first jellybean is blue?  

QUESTION 3

Suppose we draw two jellybeans from the jar. What is the probability that we draw two red jellybeans?

QUESTION 4

What is the probability that we draw two blue jellybeans?

QUESTION 5

What is the probability that the first jellybean is red and the second jellybean is blue?

QUESTION 6

What is the probability that the first jellybean is blue and the second jellybean is red?  

QUESTION 7

Using your answers to (5) and (6), what is the probability that we draw one red and one blue jellybean (in any order)?

QUESTION 8

What is probability of either two red jellybeans, two blue jellybeans, or one of each?

Answer 1

1)

probability that the first jellybean is red=3/10 =0.3

2)

probability that the first jellybean is blue =7/10=0.7

3)

probability that we draw two red jellybeans=(3/10)*(2/9)=0.0667

4)

probability that we draw two blue jellybeans=(7/10)*(6/9)=0.4667

5)

probability that the first jellybean is red and the second jellybean is blue=(3/10)*(7/9)=0.2333

6)

probability that the first jellybean is blue and the second jellybean is red=(7/10)*(3/9)=0.2333

7)

probability that we draw one red and one blue jellybean =2*(3/10)*(7/9)=0.4667

8)

probability of either two red jellybeans, two blue jellybeans, or one of each =1