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

Chits numbered from $1$ to $100$ are put in a box and a chit is drawn randomly from the box. The probability that the chit drawn bears a $2$-digit number is ............

An event is very unlikely to happen. Its probability is closest to

Two balanced dice are rolled simultaneously. Then,the probability that the sum of numbers on the dice is $4$ is .........

The probability expressed as a percentage of a particular occurrence can never be

Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing $5$ male fish and $8$ female fish. What is the probability that the fish taken out is a male fish?

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