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Bowl A contains three red and two white chips, and bowl B contains four red and three white chips. A chip is drawn at random from bowl A and transferred to bowl B. Compute the probability of then drawing a red chip from bowl B.

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jonmei

[tex] \Large \text {Answer:} [/tex]

[tex] \large \boxed {\dfrac{23}{40}} [/tex]

[tex] \Large \text {Step-by-step explanation:} [/tex]

[tex] \text{P}_{B}(r) = \text{P}_{A}(r) \cdot \text{P}_{B}(r) + \text{P}_{A}(w) \cdot \text{P}_{B}(r) [/tex]

[tex] \text{P}_{B}(r) = \left (\dfrac{3}{5} \right ) \negthickspace \left(\dfrac{5}{8}\right ) + \left (\dfrac{2}{5} \right ) \negthickspace \left (\dfrac{4}{8} \right ) [/tex]

[tex] \text{P}_{B}(r) = \dfrac{23}{40} [/tex]

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