Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Probability

Question:

8 coins are tossed simultaneously. The probability of getting at least 6 heads is

Options:

$\frac{57}{64}$

$\frac{229}{256}$

$\frac{7}{64}$

$\frac{37}{256}$

Correct Answer:

$\frac{37}{256}$

Explanation:

The required probability $= {^8C}_6 \left(\frac{1}{2}\right)^6.\left(\frac{1}{2}\right)^2 + {^8C}_7 \left(\frac{1}{2}\right)^7.\left(\frac{1}{2}\right) + {^8C}_8 \left(\frac{1}{2}\right)^8 = \frac{37}{256}.$