Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Probability

Question:

An unbiased coin is tossed 6 times. The Probability of getting at least one head is :

Options:

$\frac{57}{64}$

$\frac{61}{64}$

$\frac{63}{64}$

$\frac{65}{64}$

Correct Answer:

$\frac{63}{64}$

Explanation:

The correct answer is Option (3) → $\frac{63}{64}$

P (getting atleast 1 head)

= 1 - P (getting no head)

$1-{^6C}_0×(\frac{1}{2})^0(\frac{1}{2})^6$

$=1-\frac{1}{64}=\frac{63}{64}$