two urns contain white balls and yellow balls the first urn contains 7 white balls and 7 yellow balls and the second urn contains 3 white balls and 6 yellow balls. a ball is drawn at random from each urn. what is the probability that both balls are white?

two urns contain white balls and yellow balls the first urn contains 7 white balls and 7 yellow balls and the second urn contains 3 white balls and 6 yellow bal class=

Respuesta :

Answer:

The correct answer option is b) [tex]\frac{1}{6}[/tex].

Step-by-step explanation:

We are given that the first urn contains 7 white balls and 7 yellow balls and the second urn contains 3 white balls and 6 yellow balls. We are to find the probability that both balls drawn are white.

This means that the first must be white and the second ball must also be white.

P (w, w) = [tex]\frac{7}{14}[/tex] × [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{6}[/tex]

Therefore, the probability that both the balls drawn are white is 1/6.

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