Determining Events with a Probability of 1: Explained with Examples

Which of the following events has a probability of 1? Check all that apply.

In order to determine which events have a probability of 1, we need to consider the definition of probability

In order to determine which events have a probability of 1, we need to consider the definition of probability. The probability of an event happening is a value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

Let’s examine each event and determine if it has a probability of 1:

1. Rolling a fair six-sided die and getting a number greater than 6: This event is impossible, as a fair six-sided die only has numbers 1 through 6. Therefore, the probability of this event is 0.

2. Flipping a fair coin and getting heads: Assuming the coin is fair, the probability of getting heads is 0.5 (or 1/2). Therefore, the probability of this event is not 1.

3. Drawing a card from a standard deck and getting a red card: In a standard deck of cards, half of the cards are red (26 out of 52). Therefore, the probability of drawing a red card is 26/52, which simplifies to 1/2. Hence, the probability of this event is not 1.

4. Selecting a number between 0 and 1 at random: In this case, any number between 0 and 1 is possible, and there are an infinite number of possibilities. Therefore, the probability of this event is 1 since it is certain to occur.

Based on our analysis, the only event with a probability of 1 is selecting a number between 0 and 1 at random.

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