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Which event is least likely to occur?
Rolling a 2 on a 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 red or blue.
Winning a raffle that sold a total of 100 tickets, if you buy 42 tickets.
Reaching into a bag full of 66 strawberry chews and 14 cherry chews without looking and pulling out a strawberry chew.

Which event is least likely to occur?\newlineRolling a 22 on a 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 red or blue.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 4242 tickets.\newlineReaching into a bag full of 6666 strawberry chews and 1414 cherry chews without looking and pulling out a strawberry chew.

Full solution

Q. Which event is least likely to occur?\newlineRolling a 22 on a 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 red or blue.\newlineWinning a raffle that sold a total of 100100 tickets, if you buy 4242 tickets.\newlineReaching into a bag full of 6666 strawberry chews and 1414 cherry chews without looking and pulling out a strawberry chew.
  1. Evaluate Probability: First, let's evaluate the probability of each event happening.
  2. Event 11: Event 11: Rolling a 22 on a six-sided die.\newlineThe probability of rolling a 22 is 11 out of 66, since there is only one side with a 22 and six possible outcomes.\newlineProbability = 16\frac{1}{6}
  3. Event 22: Event 22: Spinning a spinner divided into four equal-sized sections and landing on red or blue.\newlineThere are two favorable outcomes (red or blue) out of four possible outcomes.\newlineProbability = 24=12\frac{2}{4} = \frac{1}{2}
  4. Event 33: Event 33: Winning a raffle that sold a total of 100100 tickets, if you buy 4242 tickets.\newlineThe probability of winning is the number of tickets you have over the total number of tickets.\newlineProbability = 42100\frac{42}{100}
  5. Event 44: Event 44: Reaching into a bag with 6666 strawberry chews and 1414 cherry chews and pulling out a strawberry chew.\newlineThe probability of pulling out a strawberry chew is the number of strawberry chews over the total number of chews.\newlineProbability = 6666+14=6680=3340\frac{66}{66+14} = \frac{66}{80} = \frac{33}{40}
  6. Compare Probabilities: Now, let's compare the probabilities to determine which event is least likely to occur.\newline16\frac{1}{6} (Event 11) is approximately 0.16670.1667\newline12\frac{1}{2} (Event 22) is 0.50.5\newline42100\frac{42}{100} (Event 33) is 0.420.42\newline3340\frac{33}{40} (Event 44) is 0.8250.825
  7. Least Likely Event: The event with the smallest probability is the one that is least likely to occur.\newlineComparing the probabilities: 0.16670.1667 (Event 11) < 0.420.42 (Event 33) < 0.50.5 (Event 22) < 0.8250.825 (Event 44)
  8. Least Likely Event: The event with the smallest probability is the one that is least likely to occur. Comparing the probabilities: 0.16670.1667 (Event 11) < 0.420.42 (Event 33) < 0.50.5 (Event 22) < 0.8250.825 (Event 44) Therefore, the event that is least likely to occur is rolling a 22 on a six-sided die.

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