Solve the following. (Show, post or explain your solution)

1. A room has 3 doors. In how many ways can an individual make a trip into this room and out again if he must enter and leave only by means of the doors?
2. A die and a coin are tossed. How many outcomes are possible?
3. A bag being sold in a store comes in 3 different sizes. Each size is available in 6 different colors. How many different bags could be displayed by the store?
4. How many ways are possible in answering a true-false test of 5 questions?
5. Town M andtown N are connected by two roads while town N and town P are connected by five roads. How many different routes are there from town M to town P through town N?

Determine the probability of the indicated events. Answer with number, fraction (a/b) format, percent (with % sign), or decimal form (2 decimal places). (Show, post or explain your solution)

1. A box contains balls: 3 red, 4 blue, and 5 yellow. A ball is then randomly picked. What is the probability that the ball picked is blue?
2. A class is composed of 20 boys and 25 girls. If a pupil is called to recite, what is the probability that the one called is a girl?
3. There are twenty balls in a box numbered 1 to 20. After mixing them thoroughly, one ball is randomly picked. Find the probability that its number is divisible by 5.
4. From the English alphabet, one letter is selected. What is the probability of selecting a consonant?
5. Belle has 2 red shirts, 4 yellow shirts, and 6 blueshirts. If she chooses one shirt at random, find the probability of getting the red shirt.