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Cai's school is selling 100 raffle-tickets to raise money for a new gymnasium. The grand-prize is a ten-speed mountain bike. Which word or phrase describes the probability that he will win the raffle if he buys all the tickets?
an equal chance or 
50-50
unlikely
likely
certain

Cai's school is selling 100100 raffle-tickets to raise money for a new gymnasium. The grand-prize is a ten-speed mountain bike. Which word or phrase describes the probability that he will win the raffle if he buys all the tickets?\newlinean equal chance or 5050 50-50 \newlineunlikely\newlinelikely\newlinecertain

Full solution

Q. Cai's school is selling 100100 raffle-tickets to raise money for a new gymnasium. The grand-prize is a ten-speed mountain bike. Which word or phrase describes the probability that he will win the raffle if he buys all the tickets?\newlinean equal chance or 5050 50-50 \newlineunlikely\newlinelikely\newlinecertain
  1. Understand the problem: Understand the problem.\newlineWe need to determine the probability that Cai will win the raffle if he buys all the tickets. Probability is the measure of the likelihood that an event will occur, and it is calculated as the number of favorable outcomes divided by the total number of possible outcomes.
  2. Identify possible outcomes: Identify the total number of possible outcomes.\newlineThe total number of possible outcomes is the total number of raffle tickets, which is 100100.
  3. Identify favorable outcomes: Identify the number of favorable outcomes.\newlineSince Cai is buying all the raffle tickets, the number of favorable outcomes for him is also 100100, because he will have every ticket.
  4. Calculate probability: Calculate the probability.\newlineThe probability that Cai will win is the number of favorable outcomes divided by the total number of possible outcomes.\newlineProbability = Number of favorable outcomes / Total number of possible outcomes\newlineProbability = 100100\frac{100}{100}\newlineProbability = 11
  5. Interpret the probability: Interpret the probability.\newlineA probability of 11 means that the event is certain to happen. Therefore, if Cai buys all the tickets, it is certain that he will win the raffle.

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