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

The correct answer is:

        Probability of C = 0.1 ; Probability of D = 0.1

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