Two coins are tossed. Let A be the event that | vedclass

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(D) The sample space $S$ for tossing two coins is $S = \{(H, H), (H, T), (T, H), (T, T)\}$.Event $A$ (first coin is head) is $A = \{(H, H), (H, T)\}$.

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(D) The sample space $S$ for tossing two coins is $S = \{(H, H), (H, T), (T, H), (T, T)\}$.Event $A$ (first coin is head) is $A = \{(H, H), (H, T)\}$.Event $B$ (second coin is tail) is $B = \{(H, T), (T, T)\}$.The intersection $A \cap B = \{(H, T)\}$.The probability of $A$ is $P(A) = \frac{2}{4} = \frac{1}{2}$.The probability of $B$ is $P(B) = \frac{2}{4} = \frac{1}{2}$.The probability of $A \cap B$ is $P(A \cap B) = \frac{1}{4}$.Since $P(A \cap B) = P(A) 	imes P(B) = \frac{1}{2} 	imes \frac{1}{2} = \frac{1}{4}$,the events $A$ and $B$ are independent.

Two coins are tossed. Let $A$ be the event that the first coin shows a head and $B$ be the event that the second coin shows a tail. The two events $A$ and $B$ are:

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