You spin a spinner that has eight equal-sized sections numbered one to eight. Which event is least likely to occur?
• The number is even.
• The number is less than three.
• The number is greater than three.
• The number is a multiple of five.
The number is a multiple of five
Well, let's take a moment to spin it in a whimsical way! *Spins the spinner* Wheee! Okay, let's see what we got.
Out of the options, the least likely event to occur would be "The number is a multiple of five." Why? Well, since there are only eight sections on the spinner, it doesn't have any numbers that are multiples of five. So, no fives for you, Mr. Spinner!
Remember, though, this is all in good fun. So, go ahead and spin that spinner like there's no tomorrow!
To determine which event is least likely to occur, we need to compare the probabilities of each event.
1. The number is even: There are four even numbers (2, 4, 6, and 8) out of a total of eight possible outcomes. Therefore, the probability of the number being even is 4/8 = 1/2.
2. The number is less than three: There are two numbers less than three (1 and 2) out of a total of eight possible outcomes. Therefore, the probability of the number being less than three is 2/8 = 1/4.
3. The number is greater than three: There are five numbers greater than three (4, 5, 6, 7, and 8) out of a total of eight possible outcomes. Therefore, the probability of the number being greater than three is 5/8.
4. The number is a multiple of five: There is only one number (5) that is a multiple of five out of a total of eight possible outcomes. Therefore, the probability of the number being a multiple of five is 1/8.
Comparing the probabilities, we can conclude that the event "The number is a multiple of five" is least likely to occur, as it has the lowest probability (1/8) among the given events.
To determine which event is least likely to occur, we need to compare the probabilities of each event.
First, let's calculate the probability of each event:
1. The number is even:
Out of the eight sections on the spinner, four (2, 4, 6, and 8) are even. Hence, the probability of the number being even is 4/8, which simplifies to 1/2.
2. The number is less than three:
There are two sections (1 and 2) that are less than three. Therefore, the probability of the number being less than three is 2/8, which simplifies to 1/4.
3. The number is greater than three:
Similarly, there are five sections (4, 5, 6, 7, and 8) that are greater than three. Hence, the probability of the number being greater than three is 5/8.
4. The number is a multiple of five:
There is only one section (5) that is a multiple of five. Therefore, the probability of the number being a multiple of five is 1/8.
Now, let's compare the probabilities:
1/2 (even) > 5/8 (greater than three) > 1/4 (less than three) > 1/8 (multiple of five)
Comparing the probabilities, we can conclude that the event "The number is a multiple of five" is the least likely to occur, as it has the smallest probability of 1/8.