Question

Outcome A B C D

Probability 0.5 0.3 ? ?

Suppose that outcomes C and D have the same probability. Complete the probability distribution.
a. probability of C = 0.2 probability of D = 0.2
c. probability of C = 0.2 probability of D = 0.1
b. probability of C = 0.1 probability of D = 0.1
d. probability of C = 0.1 probability of D = 0.2

Answer 1

b C=0.1 and D=0.1
I think you ment c not b for the third one so I wrote the answer to

Answer 2

The correct answer is:

Probability of C = 0.1 ; Probability of D = 0.1

Explanation:

We know that in any probability distribution with 4 events as:

A,B,C and D.

The probability of all the events of the distribution sums up to 1.

i.e.

P(A)+P(B)+P(C)+P(D)=1

⇒ 0.5+0.3+P(C)+P(D)=1

⇒ 0.8+P(C)+P(D)=1

⇒ P(C)+P(D)=1-0.8

⇒ P(C)+P(D)=0.2

Also we are given that:

P(C)=P(D)

This means that:

2 P(C)=0.2

⇒ P(C)=0.1

Hence, we have that:

Probability of C is 0.1 and Probability of D is 0.1