Question

Of 10 people in an office, 6 are women and 4 are older than 30. Of the people over 30, 2 are women. Which is the probability that one of the people is a woman or over 30?

Answer 1

4/15 is answer
hope this helped!

Answer 2

Given:

Total number of people in the office = 10

Number of women = 6

Number of people older than 30 = 4

Number of people older than 30 who are women = 2

Let's find the probability that one of the people is a woman or over 30.

• To find the probability, apply the formula:

`P(\text{Woman }\cup\text{ over 30)= }P(\text{woman) + P(over 30) - P(woman }\cap\text{ over 30)}`

Thus, we have:

`P(\text{woman or over 30) = }(6)/(30)+(4)/(30)-(2)/(30)=(6+4-2)/(30)=(8)/(30)=(4)/(15)`

Therefore, the probability that one of the people is a woman or over 30 is:

`(4)/(15)`

ANSWER:

`(4)/(15)`