✓ Board-verified
Mathematics · 2025 · 3 marks
CBSE 2025 · Region 3 · Set 1 · Q30
Three unbiased coins are tossed simultaneously. Find the probability of getting: (a) exactly two tails (b) at least one head (c) at most two heads
Three unbiased coins are tossed simultaneously. Find the probability of getting:
(a)
exactly two tails
(b)
at least one head
(c)
at most two heads
Marking-scheme solution
Possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
(a) P (exactly two tails) \(\displaystyle =\frac{3}{8}\)
(b) P (atleast one head) \(\displaystyle =\frac{7}{8}\)
(c) P (atmost two heads) \(\displaystyle =\frac{7}{8}\)
More from Probability
- A piggy bank contains ₹ 1 coins and ₹ 2 coins in the ratio 9: 11 respectively. The piggy bank is accidently dropped and a coin pops out of it. The…2025
- If three coins are tossed simultaneously, what is the probability of getting at most one tail?2023
- The number of red balls in a bag is 10 more than the number of black balls. If the probability of drawing a red ball at random from this bag is 3/5,…2025
- A card is drawn at random from a well shuffled deck of 52 playing cards. The probability that it is either a ten or a king is2026
- Two different dice are thrown together. Find the probability that the numbers obtained have: (i) even sum, (ii) even product.2026
- A card is selected at random from a deck of 52 playing cards. The probability of it being a red face card is:2025
- Three coins are tossed together. The probability of getting exactly one head, is:2026
- If 65\% of the population has black eyes, 25\% have brown eyes and the remaining have blue eyes, what is the probability that a person selected at…2025
CBSE Class 10 Mathematics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.