What is the probability of getting at least 1 | vedclass

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

Question

(A) The total number of outcomes when a coin is tossed $4$ times is $2^4 = 16$.Let $E$ be the event of getting at least $1$ tail.The complement event

Vedclass · Accepted Answer

$\frac{15}{16}$

Vedclass · Answer

(A) The total number of outcomes when a coin is tossed $4$ times is $2^4 = 16$.Let $E$ be the event of getting at least $1$ tail.The complement event $E'$ is the event of getting no tails (i.e.,all heads).The number of outcomes for $E'$ is $1$ (which is $HHHH$).Therefore,the probability of getting no tails is $P(E') = \frac{1}{16}$.The probability of getting at least $1$ tail is $P(E) = 1 - P(E') = 1 - \frac{1}{16} = \frac{15}{16}$.

What is the probability of getting at least $1$ tail when a coin is tossed $4$ times?

Similar Questions

$A$ fair coin is tossed $100$ times. The probability of getting tails an odd number of times is

$A$ fair die is thrown $4$ times. If getting a prime number on the die is considered as a success, then the probability of getting no success at all is ...

The probability of a man hitting a target is $\frac{1}{10}$. The least number of shots required,so that the probability of his hitting the target at least once is greater than $\frac{1}{4}$,is

The probability that a bulb produced by a factory will fuse after $150$ days of use is $0.05$. What is the probability that out of $5$ such bulbs,none will fuse after $150$ days of use?

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

Vedclass Test Series

Exam Paper Generator

Online Exam Module