the probability that a student has red hair is 8%. The probability hat a student has red hair and freckles is 6%. Find the probability that a student chose at random has freckles given that they have red hair

Answer 1

We can use the formula:

P(freckles | red hair) = P(freckles and red hair) / P(red hair)

We know that P(red hair) = 8% or 0.08, and P(freckles and red hair) = 6% or 0.06.

Plugging these values into the formula, we get:

P(freckles | red hair) = 0.06 / 0.08

Simplifying, we get:

P(freckles | red hair) = 0.75 or 75%

Therefore, the probability that a student chosen at random has freckles given that they have red hair is 75%.