Calculating Probability: Shaded Sector or Number > 6 in a Spinner – Example and Formula

What is the probability you will spin the spinner and get a shaded sector or a number greater than 6?

To calculate the probability of landing on a shaded sector or a number greater than 6, we first need to determine the number of favorable outcomes and the total number of possible outcomes

To calculate the probability of landing on a shaded sector or a number greater than 6, we first need to determine the number of favorable outcomes and the total number of possible outcomes.

Let’s assume that the spinner has 8 equal sectors, where one sector is shaded and the remaining 7 sectors are unshaded. Additionally, the numbers on the spinner are 1, 2, 3, 4, 5, 6, 7, and 8.

1. Shaded Sector: There is 1 shaded sector.

2. Numbers greater than 6: The numbers 7 and 8 are greater than 6.

To find the total number of possible outcomes, we add the number of shaded sectors and the number of numbers greater than 6:

Total number of possible outcomes = 1 (shaded sector) + 2 (numbers greater than 6)
Total number of possible outcomes = 3

Now, we can calculate the probability using the formula:

Probability = Number of favorable outcomes / Total number of possible outcomes

Number of favorable outcomes = 1 (shaded sector)

Probability = 1 / 3

Hence, the probability of spinning the spinner and landing on a shaded sector or a number greater than 6 is 1/3.

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