Question

You spin the spinner once. see photoWhat is P(4 or odd)?

Answer 1

Step-by-step explanation:

Given;

We are given a spinner divided into 3 equal sections with numbers indicated on each section as shown.

Required;

We are required to calculate the probability of the pointer landing on a 4 or an odd number if the spinner is spun once.

Step-by-step solution;

The probability of an event can be calculated by the formula given as;

`P[event]=\frac{Number\text{ }of\text{ }required\text{ }outcomes}{Number\text{ }of\text{ }all\text{ }possible\text{ }outcomes}`

The possible outcomes in this experiment is 3 in all.

Therefore, the probability of landing on a 4 is;

`P[4]=(1)/(3)`

Take note that there are two odd numbers. Therefore, the probability of landing on an odd number is;

`P[odd\text{ }number]=(2)/(3)`

When we want to calculate the probability of event A OR event B, this is an addition of probabilities.

In other words we will now add the probabilities of both events to determine the probability of a 4 OR an odd number.

Hence we now have the following;

`\begin{gathered} P[4\text{ }or\text{ }odd]=P[4]+P[odd] \\ \\ P[4\text{ }or\text{ }odd]=(1)/(3)+(2)/(3) \\ \\ P[4\text{ }or\text{ }odd]=1 \end{gathered}`

Therefore,

ANSWER:

The answer is 1.

**This means there is a 100% likelihood of landing on either a 4 or an odd number**