Question 1122765
probability of rain on the first day is .2
probability of rain on the second day is .3


assuming these events are independent of each other, then:


probability of rain on both days is .2 * .3 = .06


probability of no rain on both days is .8 * .7 = .56


probability of rain on either day, but not both = .2 * .7 + .8 * .3 = .38


total probabilities should be equal to 1.


probability of rain on both days = .2 * .3 = .06
probability of rain on first day but not the second is .2 * .7 = .14
probability of rain on second day but not the first is .8 * .3 = .24
probability of no rain on both days is .8 * .7 = .56


total probability is .06 + .14 + .24 + .56 = 1.0, as it should be.