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Which event is least likely to occur?

Answer
Multiple Choice Answers
Rolling an even number or an odd 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 yellow or red.
Winning a raffle that sold a total of 100 tickets, if you buy 15 tickets.
Reaching into a bag full of 33 strawberry chews and 27 cherry chews without looking and pulling out a strawberry chew.

1 answer

To determine which event is least likely to occur, we need to analyze the probability of each event:

  1. Rolling an even number or an odd number on a six-sided die (1 to 6):

    • There are three even numbers (2, 4, 6) and three odd numbers (1, 3, 5).
    • The probability of rolling an even number is 3/6 = 1/2, and the probability of rolling an odd number is also 3/6 = 1/2.
    • So, rolling either an even or odd number is guaranteed (probability of 1).

  2. Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on yellow or red:

    • There are two favorable outcomes (yellow and red) out of five total sections.
    • The probability of landing on yellow or red is 2/5.

  3. Winning a raffle that sold a total of 100 tickets, if you buy 15 tickets:

    • The total number of tickets is 100 and the number of tickets purchased is 15.
    • The probability of winning is 15/100 = 3/20.

  4. Reaching into a bag full of 33 strawberry chews and 27 cherry chews without looking and pulling out a strawberry chew:

    • There are 33 strawberry chews out of a total of 33 + 27 = 60 chews.
    • The probability of pulling out a strawberry chew is 33/60 = 11/20.

Now, let's compare the probabilities:

  1. Rolling an even or odd number: 1
  2. Landing on yellow or red: 2/5 = 0.4
  3. Winning the raffle: 3/20 = 0.15
  4. Pulling out a strawberry chew: 11/20 = 0.55

Among these, the event with the least probability is winning a raffle that sold a total of 100 tickets, if you buy 15 tickets with a probability of 3/20 (0.15).

Thus, the event that is least likely to occur is the winning a raffle that sold a total of 100 tickets, if you buy 15 tickets.