Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

A coin is tossed 7 times. The probability of getting at least 4 heads is:

Options:

$\frac{5}{8}$

$\frac{3}{4}$

$\frac{1}{4}$

$\frac{1}{2}$

Correct Answer:

$\frac{1}{2}$

Explanation:

Coin tossed 7 times

P(atleast 4 heads)

= P(4 heads) + P(5 heads) + P(6 heads) + P(7 heads)

$=\frac{{^7C}_4+{^7C}_5+{^7C}_6+{^7C}_7}{2^7}=\frac{35+21+7+1}{128}=\frac{64}{128}$

$=\frac{1}{2}$