a recent survey found that 65% of high school students were currently enrolled in a math class, 43% were…

a recent survey found that 65% of high school students were currently enrolled in a math class, 43% were currently enrolled in a science class, and 13% were enrolled in both a math and a science class. suppose a high school student who is enrolled in a math class is selected at random. what is the probability that the student is also enrolled in a science class?\n0.20\n0.28\n0.30\n0.66

a recent survey found that 65% of high school students were currently enrolled in a math class, 43% were currently enrolled in a science class, and 13% were enrolled in both a math and a science class. suppose a high school student who is enrolled in a math class is selected at random. what is the probability that the student is also enrolled in a science class?\n0.20\n0.28\n0.30\n0.66

Answer

Explanation:

Step1: Define the events

Let $A$ be the event of being enrolled in a science class, and $B$ be the event of being enrolled in a math class. We know $P(B)=0.65$, $P(A) = 0.43$, and $P(A\cap B)=0.13$.

Step2: Use the formula for conditional probability

The formula for conditional probability is $P(A|B)=\frac{P(A\cap B)}{P(B)}$.

Step3: Substitute the values

Substitute $P(A\cap B) = 0.13$ and $P(B)=0.65$ into the formula: $P(A|B)=\frac{0.13}{0.65}$.

Step4: Calculate the result

$\frac{0.13}{0.65}=0.2$.

Answer:

0.20