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Which of these contexts describes a situation that is likely?
Rolling a 3 on a standard six-sided die, numbered from 1 to 6.
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on blue or yellow.
Winning a raffle that sold a total of 100 tickets if you bought o tickets.
Reaching into a bag full of 15 strawberry chews and 5 cherry chews without looking and pulling out a strawberry chew.

Which of these contexts describes a situation that is likely?\newlineRolling a 33 on a standard six-sided die, numbered from 11 to 66.\newlineSpinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on blue or yellow.\newlineWinning a raffle that sold a total of 100100 tickets if you bought o tickets.\newlineReaching into a bag full of 1515 strawberry chews and 55 cherry chews without looking and pulling out a strawberry chew.

Full solution

Q. Which of these contexts describes a situation that is likely?\newlineRolling a 33 on a standard six-sided die, numbered from 11 to 66.\newlineSpinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on blue or yellow.\newlineWinning a raffle that sold a total of 100100 tickets if you bought o tickets.\newlineReaching into a bag full of 1515 strawberry chews and 55 cherry chews without looking and pulling out a strawberry chew.
  1. Rolling a 33 Probability: Analyze the likelihood of rolling a 33 on a standard six-sided die. A standard six-sided die has six equally likely outcomes when rolled. The probability of rolling a 33 is the chance of one specific outcome occurring. Probability of rolling a 33 = 16\frac{1}{6}
  2. Spinner Color Probability: Analyze the likelihood of spinning a spinner divided into four equal-sized sections and landing on blue or yellow.\newlineThe spinner has four equal sections, so the probability of landing on any one color is 14\frac{1}{4}. Since there are two favorable outcomes (blue or yellow), we add the probabilities of each.\newlineProbability of landing on blue or yellow = 14+14=12\frac{1}{4} + \frac{1}{4} = \frac{1}{2}
  3. Raffle Ticket Probability: Analyze the likelihood of winning a raffle with 100100 tickets sold if you bought 00 tickets.\newlineIf you have not bought any tickets, you have no chance of winning. The probability is zero.\newlineProbability of winning with 00 tickets = 0100=0\frac{0}{100} = 0
  4. Chew Selection Probability: Analyze the likelihood of reaching into a bag with 1515 strawberry chews and 55 cherry chews and pulling out a strawberry chew.\newlineThere are a total of 2020 chews in the bag, and 1515 of them are strawberry. The probability of pulling out a strawberry chew is the number of strawberry chews divided by the total number of chews.\newlineProbability of pulling out a strawberry chew =1520=34= \frac{15}{20} = \frac{3}{4}
  5. Likely Situations: Determine which situation is likely based on the probabilities calculated.\newlineRolling a 33 on a die (16\frac{1}{6}), spinning blue or yellow (12\frac{1}{2}), winning a raffle with 00 tickets (00), and pulling out a strawberry chew (34\frac{3}{4}) are the probabilities we have calculated. The likely situations are those with a probability greater than zero.\newlineRolling a 33 on a die is likely, spinning blue or yellow is likely, winning a raffle with 00 tickets is not likely, and pulling out a strawberry chew is likely.

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