Question

Matthew will spin the spinner 80 times. What is the best prediction of the number of times he can expect to land on a number greater than 3 but less than 7 ?

A) 20 times
B) 30 times
C) 40 times
D) 50 time

Answer 1

The best prediction of the number of times Matthew can expect to land on a number greater than 3 but less than 7 when spinning the spinner 80 times is 40 times, as each spin has a 50 percent chance of landing on one of the desired numbers.

Step-by-step explanation:

To predict the number of times Matthew can expect to land on a number greater than 3 but less than 7, we first need to define the probabilities for a single spin. A standard spinner that corresponds to this question would likely be divided into equal sections each representing one number. If we assume six sections for numbers 1 through 6, then the numbers greater than 3 but less than 7 are 4, 5, and 6.

Since there are three numbers that satisfy the condition (4, 5, and 6) out of a total of six numbers on the spinner, the probability of landing on one of these numbers in a single spin is 3/6, which simplifies to 1/2, or 50 percent. Therefore, if Matthew spins the spinner 80 times, we can use this probability to predict the expected frequency.

The calculation would be: 80 spins * 50 percent chance = 40 times.

So the best prediction for the number of times he can expect to land on a number greater than 3 but less than 7 is 40 times.