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Engineering Mathematics

Conditional Probability

Probability u...

Question

Probability (up to one decimal place) of consecutively picking 3 red balls without replacement from a box containing 5 red balls and 1 white ball is

0.5

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Solution

The correct option is A 0.5
Required Probability

$= \frac{^{5} C_{1}}{^{6} C_{1}} \times \frac{^{4} C_{1}}{^{5} C_{1}} \times \frac{^{3} C_{1}}{^{4} C_{1}}$

$= \frac{5}{6} \times \frac{4}{5} \times \frac{3}{4} = \frac{1}{2} = 0.5$

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