Mathematics: An urn contains 4 black and 5 white balls. A ball is drawn at random and then replaced, and then a second ball is drawn. Find the probability that the first is black and the second iswhite.

1045 = 1000 since 45 is not near 20006589 = 7000Near to low: 0, 1, 2, 3, 4Nearer to High: 5, 6, 7, 8, 9...

An urn contains 4 black and 5 white balls. A ball

Emptypockets451

13.02.2022

Probability = 0.2470

Step-by-step explanation:

Given

Black = 4

White = 5

Total = 9 i.e. 5 + 4

Required

Determine $P(Black\ and\ White)$

In probability;

$P(A\ and\ B) = P(A) * P(B)$

So:

$P(Black\ and\ White) = P(Black) * P(White)$

i.e. multiply the probability of selecting black by that of selecting white

$P(Black\ and\ White) = \frac{n(Black)}{Total} * \frac{n(White)}{Total}$

$P(Black\ and\ White) = \frac{4}{9} * \frac{5}{9}$

$Probability = \frac{20}{81}$

Probability = 0.2470

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