Question:
A pair of fair dice is thrown independently three times. The probability of getting a score of exactly $9$ twice is
A pair of fair dice is thrown independently three times. The probability of getting a score of exactly $9$ twice is
Updated On: Jul 5, 2022
- $1/729$
- $8/9$
- $8/729$
- $8/243$
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The Correct Option is D
Solution and Explanation
Probability of getting score 9 in a single throw $=\frac{4}{36}=\frac{1}{9}$
Probability of getting score 9 exactly twice $=^{3}C_{2}\times\left(\frac{1}{9}\right)^{2}\times\frac{8}{9}=\frac{8}{243}.$
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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.