When a coin is tossed 6 times,the probability | vedclass

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

Question

(D) Total number of outcomes when a coin is tossed $6$ times is $2^6 = 64$. Let $X$ be the number of heads. We want the probability $P(X > 3)$,which m

Vedclass · Accepted Answer

$\frac{11}{32}$

Vedclass · Answer

(D) Total number of outcomes when a coin is tossed $6$ times is $2^6 = 64$. Let $X$ be the number of heads. We want the probability $P(X > 3)$,which means $X$ can be $4, 5,$ or $6$. The number of ways to get $r$ heads in $n$ tosses is given by $\binom{n}{r}$. Number of ways to get $4$ heads $= \binom{6}{4} = \frac{6!}{4!2!} = 15$. Number of ways to get $5$ heads $= \binom{6}{5} = \frac{6!}{5!1!} = 6$. Number of ways to get $6$ heads $= \binom{6}{6} = \frac{6!}{6!0!} = 1$. Total favorable outcomes $= 15 + 6 + 1 = 22$. Required Probability $= \frac{22}{64} = \frac{11}{32}$. Hence,option $D$ is correct.

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

Similar Questions

$A$ multiple choice examination has $5$ questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get $4$ or more correct answers just by guessing is

The probability of a man hitting a target is $\frac{2}{3}$. What is the minimum number of times he must fire so that the probability of hitting the target at least once is more than $90 \%$?

Two cards are drawn successively with replacement from a well-shuffled pack of $52$ cards. The mean of the number of kings is:

$A$ person can kill a bird with a probability of $3/4$. He tries $5$ times. What is the probability that he may not kill the bird at all?

$A$ fair coin is tossed $99$ times. If $X$ is the number of times head occurs,then $P[X=r]$ is maximum when $r=$

Vedclass Test Series

Exam Paper Generator

Online Exam Module