Question

Anil asks 10 students whether they wear glasses and whether they wear a watch. He puts their names into a Venn diagram. What is the probability that a student picked at random wears a watch? Give your answer as a fraction in its simplest form. Previous Wears glasses Wears a watch Chris Daniel Kian​

Answer 1

The probability that a student picked at random wears a watch is 0.25.

Step-by-step explanation:

To find the probability that a student picked at random wears a watch, we need to consider the information provided in the Venn diagram. Let's label the different parts of the diagram:

• P(wears glasses): 0.4
• P(wears a watch): 0.5
• P(wears glasses AND wears a watch): 0.25

The probability of wearing a watch can be calculated as the sum of two probabilities: P(wears a watch only) and P(wears glasses AND wears a watch). The probability of wearing a watch only is equal to P(wears a watch) minus P(wears glasses AND wears a watch). Therefore, the probability that a student picked at random wears a watch is:

P(wears a watch only) = P(wears a watch) - P(wears glasses AND wears a watch) = 0.5 - 0.25 = 0.25.