All Exams Test series for 1 year @ ₹349 only
Question

Three fair coins are tossed simultaneously. What is the probability of getting at least one head ?

This question was previously asked in
UPTET 2026 Paper 2 Social Studies Question Paper (3-Jul-2026) (Shift 1)
The correct answer is

7/8

Tossing three fair coins gives \(2^3 = 8\) equally likely outcomes.

The only outcome with no heads at all is all tails (TTT), which has probability \(\frac{1}{8}\).

So the probability of at least one head is \(1 - \frac{1}{8} = \frac{7}{8}\).

The probability of getting at least one head is 7/8.

Was this answer helpful?

Important Questions from Probability

  1. Two dice are thrown simultaneously. What is the probability of getting the same number on both the dice?

  2. The probability of being 53 Sundays in year 2020 is-

  3. Three dice are thrown randomly. The probability of coming 3 in at least one die is

  4. The probability of having 53 Tuesdays in an ordinary year is:

  5. When two dice are tossed simultaneously, the probability that the sum of the numbers appearing on both the dice is 8 will be

Need Expert Advice?
Upcoming Exams
MH SET
October 25, 2026
CTET
December 12, 2026
Test Series
UP TET img
Teaching
UPTET 2026 (Paper 1 & 2) Mock Test Series
257 Tests 16 Tests Free
2141 Attempts
4.6(18)
English, Hindi

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App