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Using conditional probability, determine if the following two events are independent from each other: Tossing a coin and getting a head (A), and then rolling a six-sided die and obtaining a 5 (B).

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Step-by-step explanation:

We are asked to find out using conditional probability, determine if the following two events are independent from each other

i) Tossing a coin and getting a head (A)

rolling a six-sided die and obtaining a 5 (B).

to check A and B are independent

P(A) = 0.5 (assuming fair coin)

P(B) = [tex]\frac{1}{6}[/tex]

P(B/A) = [tex]\frac{1}{6}[/tex]

since whether head or tail this will not affect the reading on the die

So A and B are independent since

P(B/A) = P(B)

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