MAH-CET 2026 — Mathematics PYQ

Step 1: Write down the Sample Space ($S$)

When two fair coins are tossed simultaneously, the total list of all possible outcomes is:

$$S=\{HH,HT,TH,TT\}$$

Where $H$ stands for Heads and $T$ stands for Tails.

$$\text{Total number of outcomes},n(S)=4$$

Step 2: Identify the favorable outcomes ($E$)

The condition asks for at least one head, which means we count outcomes containing $1$ head or $2$ heads:

$$E=\{HH,HT,TH\}$$

$$\text{Number of favorable outcomes},n(E)=3$$

Step 3: Calculate the probability

Using the standard probability formula $P(E)=\frac{n(E)}{n(S)}$:

$$P(E)=\frac{3}{4}$$

Correct Answer

(c) $3/4$