35% of students take spainsh or engineering. 30% of students take Spanish. 25% of students take engineering. What is the probability that a student takes Spanish and engineering?

0.2 = 20% probability that a student takes Spanish and engineering

Step-by-step explanation:

We solve this question treating the probabilities as Venn sets.

I am going to say that:

Event A: Student takes Spanish

Event B: Student takes Engineering.

35% of students take spainsh or engineering.

This means that

30% of students take Spanish.

This means that

25% of students take engineering.

This means that

What is the probability that a student takes Spanish and engineering?

This is .

These probabilities are related by the following formula:

So

Replacing the values

0.2 = 20% probability that a student takes Spanish and engineering

the answer will be

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632