Which of these contexts describes a situation that is impossible?
Rolling a multiple of 10 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 yellow or blue or green.
Winning a raffle that sold a total of 100 tickets if you bought 99 tickets.
Reaching into a bag full of 10 strawberry chews and 10 cherry chews without looking and pulling out a strawberry or a cherry chew.
Winning a raffle that sold a total of 100 tickets if you bought 99 tickets.
The situation that is impossible is winning a raffle that sold a total of 100 tickets if you bought 99 tickets.
To determine which of these contexts describes a situation that is impossible, we need to analyze each scenario.
1. Rolling a multiple of 10 on a standard six-sided die:
To find the probability of rolling a multiple of 10 on a standard six-sided die, we first need to identify the possible outcomes. Since the die has only 6 sides numbered from 1 to 6, it is impossible to roll a number that is a multiple of 10. Therefore, this situation is impossible.
2. Spinning a spinner and landing on yellow, blue, or green:
To evaluate the possibility of landing on a specific color on the spinner, we need to know the number of sections that have that particular color. Since the spinner is divided into four equal-sized sections colored red/green/yellow/blue, and we are allowed to land on yellow, blue, or green, it means that out of the four sections, at least one section has either yellow, blue, or green. Therefore, this situation is possible.
3. Winning a raffle by buying 99 tickets out of 100:
To determine the probability of winning the raffle, we need to calculate the ratio of winning tickets to the total number of tickets sold. Since you have bought 99 tickets out of 100, there is only one ticket left that could possibly win. Therefore, your chances of winning are 1 in 100, making this situation unlikely but not impossible.
4. Reaching into a bag and pulling out a strawberry or a cherry chew:
To analyze the probability of pulling out a strawberry or a cherry chew from the bag, we need to know the total number of chews and the number of strawberry and cherry chews. Since there are 10 strawberry chews and 10 cherry chews in the bag, it is certain that you will be able to pull out either a strawberry or a cherry chew. Therefore, this situation is possible.
Based on the analysis above, the scenario that describes a situation that is impossible is rolling a multiple of 10 on a standard six-sided die.