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
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%.