Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

When 3 coins are tossed simultaneously, the probability of having 3 heads is:

Options:

0

1

$\frac{7}{8}$

$\frac{1}{8}$

Correct Answer:

$\frac{1}{8}$

Explanation:

$\text{Number of coins}=3.$

$\text{Total outcomes}=2^3=8.$

$\text{Sample space}=\{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\}.$

$\text{Favourable outcome for 3 heads}=1\;(HHH).$

$P(\text{3 heads})=\frac{1}{8}.$

$P(\text{3 heads})=\frac{1}{8}.$