Three coins are tossed together,then the prob | vedclass

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

Question

(D) When three coins are tossed together,the total number of possible outcomes is $2^3 = 8$.The sample space is $S = \{HHH, HHT, HTH, THH, HTT, THT, T

Vedclass · Accepted Answer

$\frac{7}{8}$

Vedclass · Answer

(D) When three coins are tossed together,the total number of possible outcomes is $2^3 = 8$.The sample space is $S = \{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT\}$.Let $E$ be the event of getting at least one head.The complement event $E'$ is the event of getting no heads,which means getting all tails $(TTT)$.The number of outcomes for $E'$ is $1$.Therefore,$P(E') = \frac{1}{8}$.The probability of getting at least one head is $P(E) = 1 - P(E')$.$P(E) = 1 - \frac{1}{8} = \frac{7}{8}$.

Three coins are tossed together,then the probability of getting at least one head is

Similar Questions

There are $4$ envelopes with addresses and $4$ corresponding letters. The probability that no letter goes into its correct envelope is:

Let $A, B,$ and $C$ be three mutually independent events. Consider the two statements $S_1$ and $S_2$:
$S_1: A$ and $B \cup C$ are independent.
$S_2: A$ and $B \cap C$ are independent.
Then:

An urn contains $25$ balls numbered $1$ to $25$. Suppose an odd number is considered a 'success'. $2$ balls are drawn from the urn with replacement. Find the probability of getting at least one success.

Two cards are drawn together from a pack of $52$ cards. The probability that one is a spade and one is a heart,is

$3$ coins are tossed. Find the probability of getting at least $1$ head and $1$ tail.

Vedclass Test Series

Exam Paper Generator

Online Exam Module