At a certain college, 23% of students speak spanish, 8% speak italian, and 3% speak both languages. a student is chosen at random from the college. what is the probability that the student speaks spanish given that he or she speaks italian?

Step-by-step explanation:

Let's start defining the conditional probability of an event :

Given two events A and B :

with P(B) > 0

Where P(A/B) is the probability of event A given that event B occur

P(A,B) is the probability of the event in which A and B occur both at the same time.

Let's write the events for our exercise

S : ''A random student speaks Spanish''

I : ''A random student speaks Italian''

Applying the conditional equation we obtain :

Then, 0.375 is the probability that we are looking for

step-by-step explanation:

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