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

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(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

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

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(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

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