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Which event is least likely to occur?

Answer
Multiple Choice Answers
Rolling a prime number on a six-sided die, numbered from 1 to 6.
Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on green or puple.
Winning a raffle that sold a total of 100 tickets, if you buy 81 tickets.
Reaching into a bag full of 12 strawberry chews and 48 cherry chews without looking and pulling out a strawberry chew

1 answer

Let's evaluate the probability of each event happening:

  1. Rolling a prime number on a six-sided die (1 to 6): The prime numbers between 1 and 6 are 2, 3, and 5. Therefore, there are 3 favorable outcomes (2, 3, and 5) out of 6 possible outcomes. The probability is 3/6 = 1/2.

  2. Spinning a spinner divided into five equal sections (red, green, yellow, blue, purple) and landing on green or purple: There are 2 favorable outcomes (green and purple) out of 5 possible outcomes. The probability is 2/5.

  3. Winning a raffle that sold a total of 100 tickets, with you buying 81 tickets: The probability of winning in this case is the number of tickets you bought (81) divided by the total number of tickets (100). Therefore, the probability is 81/100.

  4. Reaching into a bag with 12 strawberry chews and 48 cherry chews and pulling out a strawberry chew: The total number of chews is 12 + 48 = 60. The probability of pulling out a strawberry chew is the number of strawberry chews (12) divided by the total number of chews (60). The probability is 12/60 = 1/5.

Now, let's summarize the probabilities for each event:

  1. Rolling a prime number: 1/2.
  2. Landing on green or purple: 2/5.
  3. Winning the raffle: 81/100.
  4. Pulling out a strawberry chew: 1/5.

Now we can compare these probabilities:

  • 1/2 = 0.5
  • 2/5 = 0.4
  • 81/100 = 0.81
  • 1/5 = 0.2

The event that is least likely to occur is pulling out a strawberry chew, with a probability of 1/5 (or 0.2).