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;
[tex]P[event]=\frac{Number\text{ }of\text{ }required\text{ }outcomes}{Number\text{ }of\text{ }all\text{ }possible\text{ }outcomes}[/tex]
The possible outcomes in this experiment is 3 in all.
Therefore, the probability of landing on a 4 is;
[tex]P[4]=\frac{1}{3}[/tex]
Take note that there are two odd numbers. Therefore, the probability of landing on an odd number is;
[tex]P[odd\text{ }number]=\frac{2}{3}[/tex]
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;
[tex]\begin{gathered} P[4\text{ }or\text{ }odd]=P[4]+P[odd] \\ \\ P[4\text{ }or\text{ }odd]=\frac{1}{3}+\frac{2}{3} \\ \\ P[4\text{ }or\text{ }odd]=1 \end{gathered}[/tex]
Therefore,
ANSWER:
The answer is 1.
**This means there is a 100% likelihood of landing on either a 4 or an odd number**
