Final answer:
To find the probability of the spinner landing on a number that is not a multiple of 13, subtract the count of multiples of 13 between 1 and 50 (which is 3) from the total numbers (50), resulting in 47. Therefore, the probability is 47/50.
Step-by-step explanation:
The question asks for the probability that the spinner will land on a number that is not a multiple of 13. To determine this, first count the number of multiples of 13 between 1 and 50. The multiples of 13 within this range are 13, 26, 39, and 52 - but 52 is not within our range, so we only count the first three. This means there are 3 multiples of 13. Since there are 50 numbers in total, the number of numbers that are not multiples of 13 is 50 - 3 = 47. Therefore, the probability is the number of favorable outcomes (numbers not multiple of 13) over the total number of outcomes (total numbers on spinner), which is 47/50.