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Byju's Answer

Standard XII

Mathematics

Total Probability Theorem

Find the prob...

Question

Find the probability of drawing a white ball from a box containing $3$ white and $5$ black balls.

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Solution

There are $3$ white and $5$ black balls in the box.
The total number of balls is $8$
The probability of drawing one white ball from that box $= \frac{^{3} C_{1}}{^{8} C_{1}} = \frac{3}{8}$

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Find the probability of drawing a white ball from a box containing 3 white and 5 black balls.

There are 3 white and 5 black balls in the box.The total number of balls is 8The probability of drawing one white ball from that box =3C18C1=38

Find the probability of drawing a white ball from a box containing $3$ white and $5$ black balls.

There are $3$ white and $5$ black balls in the box.
The total number of balls is $8$
The probability of drawing one white ball from that box $= \frac{^{3} C_{1}}{^{8} C_{1}} = \frac{3}{8}$