In a simultaneous toss of 2 coins,find the pr | vedclass

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Question

(A) When $2$ coins are tossed simultaneously,the sample space $S$ is given by: $S = \{HH, HT, TH, TT\}$The total number of possible outcomes is $n(S)

Vedclass · Accepted Answer

$1/2$

Vedclass · Answer

(A) When $2$ coins are tossed simultaneously,the sample space $S$ is given by: $S = \{HH, HT, TH, TT\}$The total number of possible outcomes is $n(S) = 4$.We are looking for the probability of getting exactly $1$ tail. The favorable outcomes are $HT$ and $TH$.The number of favorable outcomes is $n(E) = 2$.The probability $P(E)$ is given by the formula: $P(E) = \frac{n(E)}{n(S)} = \frac{2}{4} = \frac{1}{2}$.Therefore,the probability of getting exactly $1$ tail is $1/2$.

In a simultaneous toss of $2$ coins,find the probability of getting exactly $1$ tail.

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