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 any two events such that $P(\overline{A \cup B}) = \frac{1}{6}$,$P(A \cap B) = \frac{1}{4}$,and $P(\bar{A}) = \frac{1}{4}$,then the events $A$ and $B$ are

When two dice are thrown simultaneously,find the probability of the following:
$(1)$ The numbers are the same.
$(2)$ The difference between the numbers is $1$.

Two dice are thrown simultaneously. The probability of obtaining a total score of $5$ is

Let $A = \{1, 3, 5, 7, 9\}$ and $B = \{2, 4, 6, 8\}$. If an ordered pair $(a, b)$ is chosen at random from the Cartesian product $A \times B$,what is the probability that $a + b = 9$?

The chance of getting a doublet with $2$ dice is

Vedclass Test Series

Exam Paper Generator

Online Exam Module