“21” comprehension project\nname:\n1. what big science competition were ben and his friends involved in?\n2…

Brief Explanations:

These questions seem to be related to a story or movie involving characters like Ben and their activities in science - competitions, jobs, and card - counting in blackjack. Each question requires an understanding of the plot, characters' actions, and the context of events such as why certain things happened, what skills were involved, and how mathematical concepts like card - counting work. Since no calculations are involved and it's mainly about understanding and explaining the plot and related concepts, we'll use this format.

1. Without additional context from the source material (story or movie), we can't determine the big science competition Ben and his friends were involved in.
2. No information is given about the nature of the "extra credit" given to Ben for answering a question in class.
3. The quote "If you don't know which door to choose, always account for..." is incomplete.
4. Without source - material knowledge, we can't say what "special team" Ben was recruited to.
5. No details about the skill that made Ben good at his men's wear job are provided.
6. The reason Ben needed money isn't stated in the available information.
7. There is no information to explain why Ben was dragged away with his head covered during his "trial" run.
8. Knowing the count in blackjack helps bettors by allowing them to estimate the probability of high - value cards remaining in the deck. When the count is high, there are more high - value cards left, which can be favorable for the bettor as it increases the chance of the dealer busting or the bettor getting a good hand.
9. The team may have argued they were not gambling because they were using a skill (card - counting) to gain an edge rather than relying purely on chance.
10. Even though card - counting is not illegal, the team may have worried about getting caught because casinos have the right to ban players they suspect of card - counting as it affects the casino's bottom - line.
11. Spotters in a card - counting team likely keep track of cards that have been played in different sections of the casino and communicate that information to the main counters. This involves basic arithmetic to keep a running count.
12. In card - counting, a point - system is usually assigned to cards. High - value cards (10, Jack, Queen, King, Ace) are given negative values, low - value cards (2 - 6) are given positive values, and 7 - 9 are given a value of 0. The count is established by adding and subtracting these values as cards are dealt.
13. No information on what Fisher did to get kicked off the team.
14. Mickey may have been mad when Ben lost a lot of money because they were likely working together to make money through card - counting and Ben's losses affected their overall profits.
15. Without more context, we don't know how Ben got caught when the team played without Mickey.
16. Mickey may have come back to join Ben in card - counting because they had a successful partnership in the past, or Mickey saw potential for more profits.
17. No information on the reason the security chief said Ben could get everything he wanted in life.
18. No details on how Ben paid for medical school.
19. Casinos don't like people to count cards because card - counting gives players an edge over the house, reducing the casino's expected profit from blackjack games. 20 - 21. Without knowing the movie, we can't name the main characters and describe them. 22 - 23. The math behind blackjack odds changing in favor of the counter involves probability. As cards are dealt, the composition of the remaining deck changes. When the count is high, the probability of getting a favorable hand (e.g., a high - value card for the player or a bust for the dealer) increases. 24 - 25. Card - counting can be compared to multiple - choice test - taking in that both involve analyzing available information (cards in a deck or answer choices in a test) to make a more informed decision. In card - counting, the player analyzes the cards that have been played to predict future hands, similar to how a test - taker analyzes answer choices to select the correct one.

Answer:

1. No answer available without source material.
2. No answer available without source material.
3. Incomplete quote, no answer.
4. No answer available without source material.
5. No answer available without source material.
6. No answer available without source material.
7. No answer available without source material.
8. It helps bettors estimate probability of high - value cards remaining in the deck, increasing favorable outcomes.
9. They used a skill (card - counting) instead of relying on chance.
10. Casinos can ban players they suspect of card - counting.
11. They keep track of played cards and communicate, involving basic arithmetic.
12. A point - system is assigned to cards and values are added/subtracted as cards are dealt.
13. No answer available without source material.
14. Ben's losses affected their overall profits.
15. No answer available without source material.
16. Successful past partnership or potential for more profits.
17. No answer available without source material.
18. No answer available without source material.
19. It gives players an edge over the house, reducing casino profits. 20 - 21. No answer available without source material. 22 - 23. Probability changes as cards are dealt, with high counts increasing favorable hand probabilities. 24 - 25. Both involve analyzing available information to make an informed decision.