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Question: Answered & Verified by Expert
A dice is thrown ten times. If getting even number is considered as a success, then the probability of four successes is
MathematicsProbabilityJEE Main
Options:
  • A ${ }^{10} C_4\left(\frac{1}{2}\right)^4$
  • B ${ }^{10} C_4\left(\frac{1}{2}\right)^6$
  • C ${ }^{10} C_4\left(\frac{1}{2}\right)^8$
  • D ${ }^{10} C_6\left(\frac{1}{2}\right)^{10}$
Solution:
2462 Upvotes Verified Answer
The correct answer is: ${ }^{10} C_6\left(\frac{1}{2}\right)^{10}$
Required probability
$={ }^{10} C_4\left(\frac{1}{2}\right)^4\left(\frac{1}{2}\right)^6$ $={ }^{10} C_4\left(\frac{1}{2}\right)^{10}={ }^{10} C_6\left(\frac{1}{2}\right)^{10}$.

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