Quiz 1

In 1995, they introduced blue M&M’s. Before then, the color mix in a bag
of plain M&M’s was 30% Brown, 20% Yellow, 20% Red, 10% Green, 10%
Orange, 10% Tan. Afterward it was 24% Blue , 20% Green, 16% Orange,
14% Yellow, 13% Red, 13% Brown.
Suppose a friend of mine has two bags of M&M’s, and he tells me that one
is from 1994 and one from 1996. He won’t tell me which is which, but he
gives me one M&M from each bag. One is yellow and one is green. What is
the probability that the yellow one came from the 1994 bag?

What are the odds in favor of getting at least one tail after flipping 2 fair coins?

What are the odds in favor of rolling a number greater than 3 on a fair die?

What are the odds against picking a king at random from a deck of cards (no jokers)?