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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

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Answer:

[tex]0 \leq P( P_B) \leq 1[/tex]

[tex]P(P_B) = 0.17[/tex]

Step-by-step explanation:

From the given question:

The probabilities are assigned using the Subjective method.

Let the probability that his roommate will choose rock be  [tex]P(R_B) = 0.28[/tex]

Let the probability that his roommate will choose scissors be [tex]P(S_B) = 0.55[/tex]

∴

[tex]P(R_B) + P(S_B) +P(P_B) = 1[/tex]

[tex]0.28+ 0.55 + P(P_B) =1[/tex]

[tex]0.83 + P(P_B) = 1[/tex]

[tex]P(P_B) = 1 - 0.83[/tex]

[tex]P(P_B) = 1 -0.83[/tex]

[tex]P(P_B) = 0.17[/tex]

So;

[tex]0 \leq P( P_B) \leq 1[/tex]

[tex]P(P_B) = 0.17[/tex]

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