Question

question which of these contexts describes a situation that is likely? answer rolling an 8 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 blue or yellow. winning a raffle that sold a total of 100 tickets if you bought 95 tickets. reaching into a bag full of 3 strawberry chews and 17 cherry chews without looking and pulling out a strawberry or a cherry chew.

Explanation:

Step1: Calculate probability for each option

• Rolling an 8 on a standard six - sided die:

The sample space for a standard six - sided die is \(S = \{1,2,3,4,5,6\}\). The number of favorable outcomes \(n = 0\) (since \(8
otin S\)). Probability \(P=\frac{0}{6}=0\) (impossible event).

• Spinning a spinner divided into four equal - sized sections colored red/green/yellow/blue and landing on blue or yellow:

The sample space \(n(S)=4\). The number of favorable outcomes \(n = 2\) (blue and yellow). Probability \(P=\frac{2}{4}=\frac{1}{2}\) (equally likely event).

• Winning a raffle that sold a total of 100 tickets if you bought 95 tickets:

The sample space \(n(S)=100\). The number of favorable outcomes \(n = 95\). Probability \(P=\frac{95}{100}=0.95\) (likely event).

• Reaching into a bag full of 3 strawberry chews and 17 cherry chews and pulling out a strawberry or a cherry:

The sample space \(n(S)=3 + 17=20\). The number of favorable outcomes \(n = 20\) (since any pull is either strawberry or cherry). Probability \(P=\frac{20}{20}=1\) (certain event).

Answer:

Winning a raffle that sold a total of 100 tickets if you bought 95 tickets.