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hoa [83]
3 years ago
10

There are 10 marbles in a bag. Four are blue, 3 are black and 2 white and 1 red. If the marbles are not replaced once they are d

rawn, find P(black and then white) *
Mathematics
1 answer:
stich3 [128]3 years ago
4 0

<u>Given</u>:

Given that there are 10 marbles in a bag. 4 are blue, 3 are black, 2 are white and 1 is red.

The marbles are selected by not replacing the drawn ones.

We need to the probability of selected a black marble and then a white marble without replacement.

<u>Probability</u>:

Let B denote the black marble.

Let W denote the white marble.

The probability of selecting a black marble is P(B)=\frac{3}{10}

The probability of selecting a white marble without replacement is P(W)=\frac{2}{9}

The probability of selecting a black marble and then a white marble without replacement is given by

P(B \ and \ W)=P(B) \cdot P(W)

Substituting the values, we get;

P(B \ and \ W)=\frac{3}{10} \cdot \frac{2}{9}

P(B \ and \ W)=\frac{6}{90}

P(B \ and \ W)=\frac{1}{15}

Thus, the probability of selecting a black marble and then a white marble without replacement is \frac{1}{15}

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