In Janis class, half of the students are girls and 60% of the students have brown eyes. If a student is chosen at random, what is the probability that the student will be a girl with brown eyes?
The probability of both/all events occurring is found by multiplying the probabilities of the individual events.
To find the probability that a student chosen at random will be a girl with brown eyes, we need to consider two independent events: being a girl and having brown eyes.
First, let's determine the probability that a student is a girl. We are given that half of the students in Janis' class are girls. So, the probability of choosing a girl is 1/2 or 0.5.
Next, let's determine the probability that a student has brown eyes. We are given that 60% of the students have brown eyes. This means the probability of choosing a student with brown eyes is 0.6.
Since these events are independent, we can multiply the probabilities together to find the probability of both events occurring. Therefore, the probability of choosing a girl with brown eyes is:
Probability of a girl * Probability of brown eyes = 0.5 * 0.6 = 0.3
So, the probability that a student chosen at random will be a girl with brown eyes is 0.3 or 30%.