Answer:
[tex]\dfrac{1}{2}[/tex]
Step-by-step explanation:
Given that, spinner has 12 equal areas, so there are 12 possibilities of occurrences i.e. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
Multiples of 3 are: {3, 6, 9, 12}
Multiples of 4 are: {4, 8, 12}
To find the multiple of 3 or 4, we need to find the union of the above two sets.
Multiples of 3 or 4: {3, 4, 6, 8, 9, 12}
Number of multiples of 3 or 4 = 6
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Here, number of favorable cases are 6 and
Total number of cases are 12.
Therefore the required probability is:
[tex]P(\text{Multiple of 3 or 4}) = \dfrac{6}{12}\\P(\text{Multiple of 3 or 4}) = \bold{\dfrac{1}{2}}[/tex]
