contestada

LESSON 30 / SESSION 1Model It: DescribeTry these> Complete problems 3-5.A spinner has 5 equal-size sections numbered 1 through 5.The spinner is spun one time.a. Is it more likely that the spinner will land on an even number oran odd number? Why?b. How likely is it to spin a 1?c. Why is it just as likely to spin a number greater than 3 as a number less than 3?

Respuesta :

a)

There is a total of 5 possible outputs, from which there are 3 odd numbers: 1, 3 and 5; and 2 even numbers: 2 and 4.

Then, the probability that the spinner lands on an even number is 2/5, while the probability that the spinner lands on an odd number is 3/5.

Therefore, the spinner is more likely to land on an odd number.

b)

Since the sample space (the set of possible outcomes) includes 5 possbilities, from which only one of them is a 1, then the probability to land a 1 is 1/5.

c)

Notice that there are two numbers greater than 3 in the sample space: 4 and 5. There are as many numbers smaller than 3 in the sample space: 1 and 2.

Since there is the same amount of numbers greater than 3 as numbers less than 3 in the sample space, it is equally likely to obtain those two outputs.

Then, it is just as likely to spin a number greater than 3 as a number less than 3 because there are the same amount of numbers less than 3 as numbers greater than 3 in the spinner.

Otras preguntas