**Q: Problems of sexual harassment recieved much attention in recent years. In one survey, 420 workers (240 of whom are men) considered a friendly pat on the shoulder to be sexual harassment, whereas 580 workers (380 of whom are men) did not consider it to be a form of harassment. Find the probability of randomly selecting a man or someone who does not consider a pat on the shoulder to be a form of sexual harassment.**

# Category: Probability

## Probability and Independence

**Q: **

**(a) Say that P(E) = 0.8 and P(F) = 0.6 Show that P(E ∩ F) ≥ 0.4.**

**(b) Show that if E and F are independent then so are E’ and F’.**

## Probability with random integers

**Q: What is the probability that a positive integer no larger than 100 selected at random (among these integers) is divisible by 3?**

## Probability and Dice

**Q: What is higher: the probability of rolling a sum of 8 when two dice are rolled or when 3 dice are rolled?**