Question

Based on his roommate’s behavior in other similar games, roommate A believes that there is a 0.28 probability that his roommate will choose rock and a 0.55 probability that his roommate will choose scissors. The probabilities are assigned using the . Suppose that roommate A’s probability assignments are correct. What can you say about P( PBPB ), the probability that roommate B chooses paper? Check all that apply. P( PBPB ) = 0.31 0 ≤ P( PBPB ) ≤ 0.1 P( PBPB ) = 0.17 1 ≤ P( PBPB ) ≤ 2 0 ≤ P( PBPB ) ≤ 1

Answer 1

`0 \leq P( P_B) \leq 1`

`P(P_B) = 0.17`

Explanation:

From the given question:

The probabilities are assigned using the Subjective method.

Let the probability that his roommate will choose rock be
`P(R_B) = 0.28`

Let the probability that his roommate will choose scissors be
`P(S_B) = 0.55`

∴

`P(R_B) + P(S_B) +P(P_B) = 1`

`0.28+ 0.55 + P(P_B) =1`

`0.83 + P(P_B) = 1`

`P(P_B) = 1 - 0.83`

`P(P_B) = 1 -0.83`

`P(P_B) = 0.17`

So;

`0 \leq P( P_B) \leq 1`

`P(P_B) = 0.17`