hey! i need help with question number 6 please. for letter c

also are my answers for a and b right?

A counter is then to be picked from Bag B white Work out the probability that the counter picked from Bag B will be O Bag A Bag B 5. Two boxes contain black and white counters as shown A counter will be picked from Box A and placed into Box B. OO A counter will then be picked from Box B and placed into Box A. (a) Work out the probability that Box A will Box A end up containing 3 white counters. O (b) Work out the probability that Box A will Box B end up containing exactly 2 white counters. 6. A jar contains eight 10p coins and six 7. Each day, there is a 40% chance that Luke 5p coins. Three coins are picked al will cycle to work, otherwise he will take the random from the jar, without replacement bus (a) Work out the probability that the total If he cycles, there is a 5% chance he wil value of the three coins is 30p. 2 arrive late. If he takes the bus, there is a 15% 14 chance he will arrive late. (b) Work out the probability that the total (a) Work out the probability that Luke will value of the three coins is 15p. arrive late to work on any given day. (b) Given that Luke was late one day, work (c) Work out the probability that al least out the probability that he had cycled on this of each type of coin is picked day