113k views
3 votes
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?

User Svena
by
7.6k points

2 Answers

7 votes
4/15 is answer
hope this helped!
User Denis Dmitrienko
by
7.6k points
4 votes

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)

User Haphil
by
9.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories