Conditional probability and the multiplication rule
1. two cards are selected in sequence from a standard deck (52 cards). find the probability that the
second card is an ace, given that the first card is.
a) a seven (assume that it is not replaced):

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

If the measure of angle 1 is 110 degrees and the measure of angle 3 is (2 x+10 degree), what is the value of x?

Need on this geometry question. explain how you did it.