Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

A fair coin is tossed 5 times. The probability for all the event that at least one tail turns up, is:

Options:

$\frac{31}{32}$

$\frac{15}{16}$

$\frac{1}{32}$

$\frac{1}{16}$

Correct Answer:

$\frac{31}{32}$

Explanation:

The correct answer is Option (1) → $\frac{31}{32}$

Total outcomes = $2^5=32$

P (all heads) = $(\frac{1}{2})^5=\frac{1}{32}$

P (at least one tail) = 1 - P (all heads)

$=1-\frac{1}{32}=\frac{31}{32}$