Question

Two coins are tossed simultaneously, what is the probability of getting at least one head?

Hint:

To find the probability of getting at least one head, count all outcomes with at least one H and divide by the total number of outcomes.

Answer 1

Step 1: List the possible outcomes.
When two coins are tossed, the possible outcomes are: \[ \{ \text{HH, HT, TH, TT} \} \] Here, H represents heads and T represents tails.
Step 2: Identify favorable outcomes.
The favorable outcomes for getting at least one head are: \[ \{ \text{HH, HT, TH} \} \] There are 3 favorable outcomes.
Step 3: Calculate the probability.
The total number of possible outcomes is 4, and the number of favorable outcomes is 3. Therefore, the probability is: \[ P(\text{at least one head}) = \frac{3}{4} \]