Question

A certain group of students, the probability of a randomly chosen students is being male is 40%, the probability of the students studying in Spanish it's 18%, and the probability that a student who is known to be male also studies Spanish is 25%. What is thr probability of the student being both a male and studying Spanish.

a. 10%
b. 45%
c. 4.5%
d. 7.2%​

Answer 1

`\large\boxed{A).\,10\%}`

Explanation:

In this question, we're trying to find the probability of a male that also studies Spanish.

In this case, we know that:

• There's a 40% chance of a student being a male
• Probability of a male that studies Spanish is 25%

With the information above, we can find the probability.

To find the probability, we would need to find how much of 40 is 25%.

To do this, we would multiply 0.4 (40%) by 0.25 (25%) to find our probability.

Solve:

`0.4 *0.25=0.1\\\\\text{Move the decimal places two times to the right}\\\text{to turn it into a percent}\\\\\boxed{10\%}`

The probability of a male that studies Spanish is 10%

Your answer would be A). 10%

I hope this helped you out.

Good luck on your academics.

Have a fantastic day!