Probability:

You throw two fair six-sided dice.

What is the probability that one score is less than 4 and the other score is greater than 4?

My working:

S = Score 1

T = Score 2

P(S < 4) = 1/2

P(T > 4) = 1/3

P(S < 4 ∩ T > 4) = 1/2 * 1/3 = 1/6

Where have I gone wrong?

The ratio of men to women working for a company is 4 to 5 . if there are 90 women working for the company, what is the total number of employees?

Monthly water bills for a city have a mean of $108.43 and a standard deviation of $32.09. find the probability that a randomly selected bill will have an amount greater than $155, which the city believes might indicate that someone is wasting water. would a bill that size be considered unusual?

Cody ran nine miles on his first day of training. the next day he ran 1/8 that distance. how far did he run the second day?