Home
Class 12
MATHS
A coin is tossed three times, where (i...

A coin is tossed three times, where
(i) A : head on third toss,B: heads on first two tosses
(ii) A: at least two heads, B : at most two heads
(iii) A : at most two tails,B at least one tail
In each case find P(A/B).

Text Solution

AI Generated Solution

To solve the problem, we need to find the conditional probabilities \( P(A/B) \) for the three cases given. We will follow the steps systematically for each part. ### Part (i) - **Event A**: Head on the third toss. - **Event B**: Heads on the first two tosses. 1. **Sample Space**: When a coin is tossed three times, the sample space \( S \) is: \[ ...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY II

    CENGAGE ENGLISH|Exercise SOLVED EXAMPLES|21 Videos

  • PROBABILITY II

    CENGAGE ENGLISH|Exercise CONCEPT APPCICATION EXERCISE 14.1|5 Videos

  • PROBABILITY I

    CENGAGE ENGLISH|Exercise JEE Advanced|7 Videos

  • PROGRESSION AND SERIES

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

Similar Questions

Explore conceptually related problems

Determine P" "(E|F) in : A coin is tossed three times, where (i) E : Head on third toss, F : heads on first two tosses (ii) E : at least two heads, F : at most two heads (iii) E : at most two tails, F : at least one tail

Determine P (E|F) in :A coin is tossed three times, where (i) E : Head on third toss, F : heads on first two tosses(ii) E : at least two heads, F : at most two heads(iii) E : at most two tails, F : at least one tail

A coin is tossed three times. Find P(A/B) in each of the following: A= Head on third toss, B= Head on first two tosses A= At least two head, B= At most two heads. A= At most two tails, B= At least one tail.

A coin is tossed three times. Find P(E//F) in each of the following: (i) E= Head on the third toss, F= Heads on first two tosses (ii) E= At least two heads, F= At most two heads (iii) E= At most two tails, F= At least one tail

A coin is tossed three times, if head occurs on first two tosses, find the probability of getting head on third toss.

A coin is tossed three times. Given that at least one head appears, what is the probability that exactly two heads will appear?

A coin is tossed three times. The probability of getting head and tail alternately, is

Three coins are tossed together. Find the probability of getting: (i) exactly two heads (ii) at most two heads (iii) at least one head and one tail. (iv) no tails

A coin is tossed two times. Find the probability of getting atmost one head.

Three coins are tossed together. Find the probability of getting: (i)exactly two heads (ii) at least two heads (iii) at least one head and one tail (iv) no tails