BITSAT2012MathematicsProbabilityActual
A boy is throwing stones at a target. The probability of hitting the target at any trial is 1 2 The probability of hitting the target 5 th time at the 10 th throw is:
Options
- A5 2¹⁰
- B63 2⁹
- C10 2¹⁰
- DNone
Correct answer
B. 63 2⁹
Step-by-step solution
The probability of hitting the target 5 th time at the 10 th throw = P ( the probability of hitting the target 4 times in the first 9 throws) P ( the probability of hitting the target at the 10 th throw )= [ ⁹ C ₄ ( 1 2 )⁴ ( 1 2 )⁵ ] ( 1 2 )= 9 ! 4 ! 5 ! ( 1 2 )¹⁰= 63 2⁹