Question

question: which of these contexts describes a situation that is certain? answer: rolling a multiple of 2 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 black. winning a raffle that sold a total of 100 tickets if you bought 10 tickets. reaching into a bag full of 19 strawberry chews and 1 cherry chew without looking and pulling out a strawberry or a cherry chew.

Explanation:

Step1: Define certainty in probability

A certain event has a probability of 1.

Step2: Analyze each option

• For rolling a multiple of 2 on a standard six - sided die (numbers 1 - 6), the multiples of 2 are 2, 4, 6. The probability is $\frac{3}{6}=\frac{1}{2}$, not certain.
• For spinning a spinner divided into four equal - sized sections, the probability of landing on a particular color is $\frac{1}{4}$, not certain.
• For winning a raffle with 100 tickets and you bought 10, the probability is $\frac{10}{100}=\frac{1}{10}$, not certain.
• For reaching into a bag with 19 strawberry chews and 1 cherry chew, the probability of getting a strawberry or a cherry chew is $\frac{19 + 1}{19+1}=1$ since there are no other types of chews. It is certain.

Answer:

Reaching into a bag full of 19 strawberry chews and 1 cherry chew without looking and pulling out a strawberry or a cherry chew.