Suppose that a baseball player is in a batting cage taking practice from an automatic pitching machine. The back of the cage is 5 m wide and 3 m tall. The machine malfunctions and starts shooting balls at a rate of 4 balls/second, randomly distributed throughout the cage. The batter freaks out and just freezes presenting a cross-section of 0.75 m2to the machine. How long does it take before it is likely that he is hit by a ball?

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.