Three coins are tossed. If at least one of th | vedclass

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

Question

(A) When three coins are tossed,the total sample space $S$ is given by:$S = \{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT\}$,where $n(S) = 8$.Let $F$ be th

Vedclass · Accepted Answer

$\frac{1}{7}$

Vedclass · Answer

(A) When three coins are tossed,the total sample space $S$ is given by:$S = \{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT\}$,where $n(S) = 8$.Let $F$ be the event that at least one coin shows a tail.$F = \{HHT, HTH, THH, HTT, THT, TTH, TTT\}$,so $n(F) = 7$.Let $E$ be the event that all three coins show a tail.$E = \{TTT\}$.Since $E$ is a subset of $F$,$E \cap F = E = \{TTT\}$,so $n(E \cap F) = 1$.The conditional probability that all three coins show tail given that at least one shows tail is $P(E|F) = \frac{n(E \cap F)}{n(F)} = \frac{1}{7}$.

Three coins are tossed. If at least one of them shows tail,then the probability that all three coins show tail is:

Similar Questions

There are $n$ letters and $n$ addressed envelopes. The probability that each letter is placed in the correct envelope is:

$A$ and $B$ toss a coin alternatively,the first to show a head being the winner. If $A$ starts the game,the chance of his winning is

$A$ die is thrown. Let $A$ be the event that the number obtained is greater than $3$. Let $B$ be the event that the number obtained is less than $5$. Then $P(A \cup B)$ is

Study the given information carefully to answer the question that follows. An urn contains $4$ green,$5$ blue,$2$ red,and $3$ yellow marbles. If $4$ marbles are drawn at random,what is the probability that $2$ are blue and $2$ are red?

Two coins are tossed. Let $A$ be the event that the first coin shows head and $B$ be the event that the second coin shows a tail. The two events $A$ and $B$ are:

Vedclass Test Series

Exam Paper Generator

Online Exam Module