AP EAMCET202315 May 2023Evening ShiftMathematicsProbabilityActual
The minimum number of times a fair coin needs to be tossed, so that the probability of getting at least two heads is at least 0.96 is
Options
- A5
- B6
- C7
- D8
Correct answer
D. 8
Step-by-step solution
The probability of getting exactly 1 head in n toss = 1 2^n the probability of getting exactly 1 head in n toss = ^n C₁ 2^n The probability of getting at least 2 head =1- n+1 2^n Now, 1- n+1 2^n >0.94 0.04> 1+n 2^n So n =8