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Aneli [31]
3 years ago
8

Two urns both contain green balls and red balls. Urn I contains 6 green balls and 4 red balls and Urn II contains 8 green balls

and 7 red balls. A ball is drawn from each urn. What is the probability that both balls are red?
Mathematics
1 answer:
34kurt3 years ago
3 0

Presumably, whatever is drawn from Urn I is independent of what is drawn from Urn II. This means

P(\text{red from Urn 1 AND red from Urn 2})=P(\text{red from Urn 1})\cdot P(\text{red from Urn 2})

We have

P(\text{red from Urn 1})=\dfrac4{10}=\dfrac25

P(\text{red from Urn 1})=\dfrac7{15}

so the probability of drawing red balls from both urns is \dfrac25\cdot\dfrac7{15}=\dfrac{14}{75}

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