Sarah and Thomas are going bowling. The probability that Sarah scores more than 175 is 0.4, and the probability that Thomas scores more than 175 is 0.2. Their scores are independent.

a. Find the probability that both score more than 175.

b. Given that Thomas scores more than 175, the probability that Sarah scores higher than Thomas is 0.3. Find the probability that Thomas scores more than 175 and Sarah scores higher than Thomas.

Step 1 of 3:

It is given that Sarah and Thomas are two players. Also it is given that probability of sarah scoring more than 175 is 0.4 and probability of Thomas scoring more than 175 is 0.2.

That is P(Sarah scores more than 175)=0.4 and

P(Thomas scores more than 175)=0.2.

The scores are independent.

Using these we have to find the required probabilities.