which of the following events has a probability of 1? check all that apply. landing on a blue or red space…

which of the following events has a probability of 1? check all that apply. landing on a blue or red space on a spinner with 1 blue space and 1 red space choosing a red marble from a bag containing red and green marbles drawing a peanut from a bag of trail mix with 4 types of nuts drawing a red card from a stack of 20 red cards getting a heads or a tails when flipping a coin

which of the following events has a probability of 1? check all that apply. landing on a blue or red space on a spinner with 1 blue space and 1 red space choosing a red marble from a bag containing red and green marbles drawing a peanut from a bag of trail mix with 4 types of nuts drawing a red card from a stack of 20 red cards getting a heads or a tails when flipping a coin

Answer

Explanation:

Step1: Recall probability formula

Probability (P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}). A probability of 1 means all possible outcomes are favorable.

Step2: Analyze first option

For a spinner with 1 blue and 1 red space, (P(\text{blue or red})=\frac{1 + 1}{1+1}=1).

Step3: Analyze second option

In a bag with red and green marbles, choosing a red marble has (P(\text{red})=\frac{\text{Number of red marbles}}{\text{Total number of marbles}}<1) since there are green marbles too.

Step4: Analyze third option

In a bag of trail - mix with 4 types of nuts, drawing a peanut has (P(\text{peanut})=\frac{\text{Number of peanuts}}{\text{Total number of nuts}}<1) as there are other nuts.

Step5: Analyze fourth option

For a stack of 20 red cards, (P(\text{red card})=\frac{20}{20}=1).

Step6: Analyze fifth option

When flipping a coin, (P(\text{heads or tails})=\frac{1 + 1}{2}=1).

Answer:

landing on a blue or red space on a spinner with 1 blue space and 1 red space, drawing a red card from a stack of 20 red cards, getting a heads or a tails when flipping a coin