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

If $P(\overline{B}) = 0.81$,then $P(B) = \ldots$

$A$ card is drawn at random from a well-shuffled pack of $52$ cards. Find the probability that the card drawn is that of diamonds.

$A$ class consists of $35$ boys and $25$ girls. One student is selected at random to be the class monitor. Find the probability that the selected student is a girl. (in $/12$)

Two unbiased dice are thrown once. Write all the possible outcomes of this experiment. What is the probability that the sum of numbers on two dice is a factor of $18$?

Find the probability of getting number $2$ on a die when a fair die is thrown.

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