Three coins are tossed once. Find the probabi | vedclass

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

Question

(C) When three coins are tossed once,the sample space $S$ is given by:$S = \{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT\}$Therefore,the total number of po

Vedclass · Accepted Answer

$\frac{1}{2}$

Vedclass · Answer

(C) When three coins are tossed once,the sample space $S$ is given by:$S = \{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT\}$Therefore,the total number of possible outcomes is $n(S) = 8$.Let $D$ be the event of getting at least $2$ heads. The favorable outcomes are:$D = \{HHH, HHT, HTH, THH\}$Therefore,the number of favorable outcomes is $n(D) = 4$.The probability of event $D$ is given by:$P(D) = \frac{n(D)}{n(S)} = \frac{4}{8} = \frac{1}{2}$

Three coins are tossed once. Find the probability of getting at least $2$ heads.

Similar Questions

If $A$ and $B$ are events of a random experiment such that $P(A \cup B) = \frac{4}{5}$,$P(\bar{A} \cup \bar{B}) = \frac{7}{10}$,and $P(B) = \frac{2}{5}$,then $P(A)$ equals

$A$ die has two faces each with number $1$,three faces each with number $2$,and one face with number $3$. If the die is rolled once,determine $P(2)$.

If two subsets $A$ and $B$ are selected at random from a set $S$ containing $n$ elements,then the probability that $A \cap B = \phi$ and $A \cup B = S$ is

The chances to fail in Physics are $20\%$ and the chances to fail in Mathematics are $10\%$. What are the chances to fail in at least one subject? ............ $\%$

Three coins are tossed once. Find the probability of getting $3$ heads.

Vedclass Test Series

Exam Paper Generator

Online Exam Module