Home
Class 12
MATHS
If a coin is tossed n times, then find t...

If a coin is tossed n times, then find the probability that the head appears odd number of times.

Text Solution

Verified by Experts

Total number of cases = `2^(n)`
If head appears odd number of times (1, 3, 5, … times), then Number of favourable ways = `(.^(n)C_(1) + .^(n)C_(3) + .^(n) C_(5) +...) = 2^(n-1)`
`therefore` Required probability = `(2^(n-1))/(2^(n)) = (1)/(2)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise Solved Example|9 Videos

  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise Exercise 9.1|6 Videos

  • PROBABILITY

    CENGAGE PUBLICATION|Exercise All Questions|470 Videos

  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos

Similar Questions

Explore conceptually related problems

If a fair is tossed 10 times, find the probability of at most six heads.

If a fair is tossed 10 times, find the probability of exactly six heads.

If a fair is tossed 10 times, find the probability of at least six heads.

If a fair coin is tossed thrice find the probability that there are at least one head

A coin is tossed n times. Find the probability of odd numbers of heads.

An unbiased coin is tossed 6 times. The probability that third head appears on the sixth trial is 5//16 b. 5//32 c. 5//8 d. 5//64

A coin is tossed 7 times. Then the probability that at least 4 consective heads apear is

A unbiased coin tossed three times. Find the probability of getting 1 head

A fair coin is tossed repeatedly. If tail appears on first four tosses, then find the probability of head appearing on fifth toss.

A coin is tossed 2n times. The probability of getting head n times, is -