Bag $A$ contains $2$ red and $1$ blue counter. Bag $B$ contains $1$ red and $2$ blue cou

Question

Bag $A$ contains $2$ red and $1$ blue counter. Bag $B$ contains $1$ red and $2$ blue counters. A bag is chosen with equal probability. Two counters are drawn from that bag without replacement. Find the probability that both counters are red. Given that both counters are red, find the probability that bag $A$ was chosen.

Accepted Answer

(a) $\frac16$. (b) $1$.

Probability

Probability

Solution:

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