1. A box is filled with several party favors. It contains 12 hats, 15 noisemakers, ten finger traps, and five bags of confetti.

• LetH = the event of getting a hat.
• LetN = the event of getting a noisemaker.
• LetF = the event of getting a finger trap.
• LetC = the event of getting a bag of confetti.

FindP(H).

2. A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange.

• LetB = the event of getting a blue jelly bean
• LetG = the event of getting a green jelly bean.
• LetO = the event of getting an orange jelly bean.
• LetP = the event of getting a purple jelly bean.
• LetR = the event of getting a red jelly bean.
• LetY = the event of getting a yellow jelly bean.

FindP(O).

3. Suppose that you have eight cards. Five are green and three are yellow. The cards are well shuffled.

• LetG₁ = first card is green
• LetG₂ = second card is green

SHow a tree-node chart and find what are the chances of pulling at least one green card.