1. You and five of your friends toss six fair coins at the same time.Construct the binomial distribution for all the possible results. What is the probability
(a) that all six coins will come up tails?
(b) that five of the six coins will come up tails?
(c) that four of the six coins will come up tails?
2. You toss a fair coin 15 times. What is the probability of getting
(a) 2 heads and 13 tails?
(b) 5 heads and 10 tails?
(c) 12 heads and 3 tails?
(d) 10 or more heads?