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Let event A be the coin landing on heads and let event B be rolling a 5 on a six-sided die.
Events A and B are independent if, and only if:
It is given in the question that the above condition for independence is met.
Also A and B are independent if:
P(A|B) = P(A)
P(A) = 1/2
Therefore the probability of flipping a coin and it landing on heads, given that you rolled a 5 on a six-sided die is 1/2. The two events are independent.
Events A and B are independent if, and only if:
It is given in the question that the above condition for independence is met.
Also A and B are independent if:
P(A|B) = P(A)
P(A) = 1/2
Therefore the probability of flipping a coin and it landing on heads, given that you rolled a 5 on a six-sided die is 1/2. The two events are independent.