Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

The least number of times a fair coin be tossed so that the probability of having atleast one head is more than 80% is :

Options:

2

5

3

4

Correct Answer:

3

Explanation:

The correct answer is Option (3) → 3

$\text{P(at least one head) = 1 - P(No heads)}$

$⇒1-(\frac{1}{2})^n>0.80$

$⇒(\frac{1}{2})^n<0.20$

$⇒n>2.32$

∴ The least number of tosses required is 3.