Home
Class 12
MATHS
Three coins are tossed. If one of them s...

Three coins are tossed. If one of them shows tail, then find the probability that all three coins show tail.

Text Solution

Verified by Experts

The correct Answer is:
`1//7`
Let E be the event which all three coins show tail and F be the event in which a coin shown tail. Therefor, `F={HHT}.` Hence, the required probability is
`thereforeP(E//F)=(P(EnnF))/(P(E))=(1)/(7)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY II

    CENGAGE|Exercise Exercise 14.2|3 Videos

  • PROBABILITY II

    CENGAGE|Exercise Exercise 14.3|8 Videos

  • PROBABILITY II

    CENGAGE|Exercise JEE Advanced Previous Year|25 Videos

  • PROBABILITY I

    CENGAGE|Exercise JEE Advanced Previous Year|7 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise ARCHIVES (MATRIX MATCH TYPE )|1 Videos

Similar Questions

Explore conceptually related problems

If a coin be tossed n times, then find the probability that the head comes odd times.

Three coins are tossed. Find the probability that tail does not appear.

Three coins are tossed together. Find the probability of getting exactly two heads.

A coin is tossed and a dice is rolled. Find the probability that the coin shows the head and the dice shows 6.

Three fair coins are tossed together. Find the probability of getting ' all tails'.

A box contains N coins m of which are fair and the rest are biased. The probability of getting a head when a fair coin is tossed is 1/2, while it is 2/3 when a biased coin is tossed. A coin is drawn from the box at random and is tossed twice. The first time it shows head and the second time it shows tail. What is the probability that the coin drawn is fair?