A coin is tossed 3 times. List the possible o | vedclass

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

Question

(B) The sample space $S$ for tossing a coin $3$ times is:$S = \{(HHH), (HHT), (HTH), (HTT), (THH), (THT), (TTH), (TTT)\}$Total number of outcomes $n(S

Vedclass · Accepted Answer

$\frac{1}{8}, \frac{1}{2}$

Vedclass · Answer

(B) The sample space $S$ for tossing a coin $3$ times is:$S = \{(HHH), (HHT), (HTH), (HTT), (THH), (THT), (TTH), (TTT)\}$Total number of outcomes $n(S) = 8$.$(i)$ Let $E_1$ be the event of getting all heads.$E_1 = \{(HHH)\}$Number of favorable outcomes $n(E_1) = 1$.Probability $P(E_1) = \frac{n(E_1)}{n(S)} = \frac{1}{8}$.$(ii)$ Let $E_2$ be the event of getting at least $2$ heads.$E_2 = \{(HHH), (HHT), (HTH), (THH)\}$Number of favorable outcomes $n(E_2) = 4$.Probability $P(E_2) = \frac{n(E_2)}{n(S)} = \frac{4}{8} = \frac{1}{2}$.

$A$ coin is tossed $3$ times. List the possible outcomes. Find the probability of getting:
$(i)$ all heads
$(ii)$ at least $2$ heads

Similar Questions

An unbiased coin is tossed thrice. Find the probability of the following event:
$A:$ Exactly $2$ heads are received.

$A$ balanced die is rolled once. Then,the probability that the number on the die is a prime number is .........

$A$ card is drawn at random from a well-shuffled pack of $52$ cards. The probability of that card being a card of a black suit is .............

Two balanced dice are rolled. Find the probability that the sum of numbers on two dice is smaller than $7$.

$A$ student says that if you throw a die,it will show up $1$ or not $1$. Therefore,the probability of getting $1$ and the probability of getting 'not $1$' each is equal to $\frac{1}{2}$. Is this correct? Give reasons.

Vedclass Test Series

Exam Paper Generator

Online Exam Module

$A$ coin is tossed $3$ times. List the possible outcomes. Find the probability of getting:$(i)$ all heads$(ii)$ at least $2$ heads