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The spinner is equally likely to land on any of the six sections.



What is the probability that the spinner will land on a number greater than 4 or on a shaded section?


2/9
1/2
2/3
5/6

The spinner is equally likely to land on any of the six sections What is the probability that the spinner will land on a number greater than 4 or on a shaded se class=

Respuesta :

You have a 2/3 chance.
In this question, it is easier to work with the complement. Since they are not simultaneous events, we will need to add them.

Let's consider the chance at picking a 2. We have a 1 in 6 chance at getting a 2 and since the question is after greater than 4, 4 is also considered part of the complement (1/6).

Now, you have a 6/6 chance at picking any number and since we want it subtracted from the complement, we would have a 4 in 6 chance, which is equivalent to a 2 in 3 chance at picking a number higher than 4 or a shaded region.

The probability that the spinner will land on a number greater than 4 or on a shaded section is given by: Option C: 2/3

How to calculate the probability of an event?

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.


For this case, let we take:

E = event that  the spinner will land on a number greater than 4 or on a shaded section

Total possible outcomes: 1,2,3,4,5,6 (total 6 in counts)

Outcomes favorable for E to occur are 5,6 (greater than 4) or 1,3,5 (those who are shaded), so unique outputs which can make E occur are 1,3,5,6 (total 4 in counts).

Thus, we get:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)} = \dfrac{4}{6} = \dfrac{2}{3}[/tex]

Thus, the probability that the spinner will land on a number greater than 4 or on a shaded section is given by: Option C: 2/3

Learn more about probability here:

brainly.com/question/1210781

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