An unbiased coin is tossed 8 times. The proba | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The total number of outcomes when a coin is tossed $8$ times is $2^8 = 256$. The event of obtaining at least one head and at least one tail is the

Vedclass · Accepted Answer

$\frac{127}{128}$

Vedclass · Answer

(B) The total number of outcomes when a coin is tossed $8$ times is $2^8 = 256$. The event of obtaining at least one head and at least one tail is the complement of the event of obtaining all heads or all tails. $P(	ext{All Heads}) = \frac{1}{2^8} = \frac{1}{256}$. $P(	ext{All Tails}) = \frac{1}{2^8} = \frac{1}{256}$. The probability of obtaining either all heads or all tails is $P(	ext{All Heads}) + P(	ext{All Tails}) = \frac{1}{256} + \frac{1}{256} = \frac{2}{256} = \frac{1}{128}$. Therefore,the required probability is $1 - \frac{1}{128} = \frac{127}{128}$.

An unbiased coin is tossed $8$ times. The probability of obtaining at least one head and at least one tail is

Similar Questions

For a binomial variate $X$, if $n=4$ and $P(X=4)=6 P(X=2)$, then the value of $p$ is

Let $X \sim B(n, p)$. If $E(X)=5$ and $\operatorname{Var}(X)=2.5$,then find $P(X < 1)$.

Find the probability of getting $5$ exactly twice in $7$ throws of a die.

$A$ coin is tossed $3$ times by $2$ persons. What is the probability that both get an equal number of heads?

When a coin is tossed $6$ times,the probability of getting more heads than tails is

Vedclass Test Series

Exam Paper Generator

Online Exam Module