Question

Researchers suggest that 8% of females in Scotland have red hair. Approximately 10% of Scottish people have red hair, and the population is 51.5% female. What is the probability that a randomly chosen member of the Scottish population is a female with red hair? Enter your answer as a percentage rounded to the nearest tenth.

Answer 1

Answer:

0.0412

Step-by-step explanation:

0.515×0.08 = 0.0412

Answer 2

We want to find the probability that a randomly chosen member of the Scottish population is a female whit red hair.

We will find that this probability is:

P = 4.1%

The probability that we want to find is given by:

The probability that a randomly chosen person is a women times the probability that a randomly chosen woman has red hair. (The probabilities are written in decimal form to perform that product)

We know:

51.5% of the population is female. (or 0.515)

8% of the female population has red hair. (or 0.08)

Then the probability that a randomly chosen member of the Scottish population is a female whit red hair is given by:

P = (0.515)*(0.08) = 0.0412

Now we want to write this as a percentage, then we need to multiply this by 100%.

P = 0.0412*100% = 4.12%

Rounding this to the nearest tenth we get:

P = 4.1%

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