Question

19) A die is weighted in such a way that each of 1 and 2 is three times as likely to come up as each of

the other numbers. Find the probability distribution. What is the probability of rolling an even

number?

20) Suppose you pick 1 card at random from a standard deck of 52 playing cards. Find the probability

that the card you select is between 4 and 7?

21) Suppose you pick 1 card at random from a standard deck of 52 playing cards. Find the probability

that the card you select is an “ace” or a club.

22) Suppose you pick 4 cards at random out of a deck of cards. Find the probability that

all

cards are

the same color.

Suppose that I have a bag of marbles: 2 are red, 2 are green and 1 is blue.

You select three marbles from the bag. Find the following probabilities:

23) You get both red marbles

24) You get at least

one

red marble

25) You get one of each color

26) You get no red marbles.

27) You get both red marbles, given that you got the blue marble

28) You get both red marbles, given that you did not get the blue marble.

29) Two dice are rolled – a red die and a green die.

Let event A := Neither die is a 1 or a 6 and event B:= The sum is even.

Are these events independent? How do you know?

30) It snows in Greenland an average of once every 25 days, and when it does, glaciers have a 20%

chance of growing. When it does not snow in Greenland, glaciers have only a 4% chance of growing.

What is the probability that it is snowing in Greenland when glaciers are growing?

Answer 1

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