A spinner has three unequal probabilities for its sectors A, B

MATHEMATICS · Single correct · CBSE · Mathematics · Probability · Probability

Problem

A spinner has three unequal probabilities for its sectors A, B, and C given by P(A)=pP(A)=p, P(B)=2pP(B)=2p, and P(C)=1−3pP(C)=1-3p. For which of the following intervals of pp are all three probabilities valid? (a) 0<p<120 < p < \dfrac12 (b) 13<p<12\dfrac13 < p < \dfrac12 (c) 0≤p≤130 \le p \le \dfrac13 (d) 0<p<130 < p < \dfrac13

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