Question

1. a student is choosing two units to study at university: a language and a science unit. they have 5 languages and 8 science units to choose from. 2b if italian is one of the languages they can choose from, what is the probability they choose italian as their language? p(italian language) = 1/5 2c french is one of the available languages. what is the probability they choose french as their language given that they choose chemistry as their science unit? p(french given they choose chemistry) =

Explanation:

Step1: Identify Independence of Events

The choice of a science unit (Chemistry) and the choice of a language (French) are independent events. So, the probability of choosing French is not affected by choosing Chemistry.

Step2: Apply Probability for Language Choice

There are 5 languages to choose from, and French is one of them. The probability of choosing French is the number of favorable outcomes (1, for French) divided by the total number of language outcomes (5). So, \( P(\text{French}) = \frac{1}{5} \). Since the events are independent, \( P(\text{French} | \text{Chemistry}) = P(\text{French}) \).

Answer:

\(\frac{1}{5}\)