Question:
A cricket club has $15$ members of which. only $5$ can bowl. If the names of $15$ members are put into a box and $11$ names are drawn at random, then the probability of obtaining $11$ member team containing exactly three bowlers is
A cricket club has $15$ members of which. only $5$ can bowl. If the names of $15$ members are put into a box and $11$ names are drawn at random, then the probability of obtaining $11$ member team containing exactly three bowlers is
Updated On: Jul 5, 2022
- $\frac{18}{91}$
- $\frac{30}{91}$
- $\frac{15}{91}$
- none of these
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The Correct Option is B
Solution and Explanation
Required probability
$= \frac{^{5}C_{3} \times^{10}C_{8}}{^{15}C_{11}} = \frac{^{5}C_{2} \times^{10}C_{2}}{^{15}C_{4} } $
$ = \left(\frac{5 \times4}{\angle2}\right) \left(\frac{10\times9}{\angle2}\right) \left(\frac{4 \times 3 \times 2\times 1}{15\times14\times13\times12}\right)$.
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Notes on Conditional Probability
Concepts Used:
Semiconductors
Semiconductors are a crystalline solid materials, whose electrical conductivity lies between a conductor and an insulator. Semiconductors are mainly used in the manufacturing of electronic devices like capacitors, transistors, diodes, Integrated circuits, etc.
Properties of Semiconductor:
- Semiconductor acts like an insulator at Zero Kelvin. On increasing the temperature, it works as a conductor.
- Due to their exceptional electrical properties, semiconductors can be modified by doping to make semiconductor devices suitable for energy conversion, switches, and amplifiers.
- Lesser power losses.
Uses of Semiconductor:
- Semiconductors are widely used in manufacturing electronics devices like transistors, diodes, sensors, integrated circuits.
- Semiconductors are widely used in all electronic devices, like mobile phones, digital cameras, communication devices, trains, ATMs, etc.