If events a and b are independent, and the probability that event a occurs is 83%, what must be true? the probability that event b occurs is 17%. the probability that event b occurs is 83%. the probability that event a occurs, given that event b occurs, is 83%. the probability that event b occurs, given that event a occurs, is 83%.

With alll of except for the 2 that i did already

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.

3. a sum of $2700 is to be given in the form of 63 prizes. if the prize is of either $100 or $25, find the number of prizes of each type.