I actually have 2 different questions but they are really small so I put them together. Sorry for any inconveniences.

Question 1

A special deck of cards has ten cards.Fourare green (G),threeare blue (B), andthreeare red (R). When a card is picked, the color of it is recorded. An experiment consists of first picking a card and then tossing a coin, which lands on heads (H) or tails (T).

Part a

• LetBbe the event that a red or green is picked, followed by landing a head on the coin toss. Are the eventsAandBmutually exclusive? Explain your answer in one to three complete sentences, including numerical justification. (Enter your probability as a fraction.)

Part b it has to equal something it cant be P(AandC) doesn't equal 0

• LetCbe the event that a red or blue is picked, followed by landing a head on the coin toss. Are the eventsAandCmutually exclusive? Explain your answer in one to three complete sentences, including numerical justification. (Enter your probability as a fraction.)

Question 2

A game involves selecting a card from a regular 52-card deck and tossing a coin. The coin is a fair coin and is equally likely to land on heads or tails.

If the card is a face card, and the coin lands on Heads, you win $4

If the card is a face card, and the coin lands on Tails, you win $2

If the card is not a face card, you lose $2, no matter what the coin shows.

• Part (a)
• Find the expected value for this game (expected net gain or loss). (Round your answer to two decimal places.)
• $____________
• Part (b) Multiple Choice
• Explain what your calculations indicate about your long-term average profits and losses on this game.

a) The calculated value represents the average amount per game that your total money will change over a large number of games.

b) The calculated value represents a fixed amount that your total money will change after each game.

c) The calculated value represents the average amount per loss that your total money will change over a large number of games.

d) The calculated value represents a fixed amount that your total money will change after each loss.

It's not much it just confused me is all