You spin a spinner that has the numbers 1-20 on it. What is the probability of getting a perfect square?
a.5/20
b.2/20
c.3/20
d.4/20
assuming all the numbers are in spaces of the same size, note that there are 4 perfect squares in the 20 numbers: 1,4 9,16
so, P(square) = 4/20
1/5
To calculate the probability of getting a perfect square, we need to determine how many perfect square numbers are on the spinner and divide that by the total number of possible outcomes.
The perfect square numbers on the spinner are:
1, 4, 9, 16
So, there are 4 perfect square numbers on the spinner.
The total number of possible outcomes is 20 (as there are 20 numbers on the spinner).
Therefore, the probability of getting a perfect square is 4/20, which simplifies to 1/5 or 0.2.
Therefore, the correct answer is option a. 1/5 or 5/20.
To determine the probability of getting a perfect square when spinning the spinner, we first need to identify the total number of possible outcomes and the number of favorable outcomes.
In this case, the spinner has 20 numbers on it, ranging from 1 to 20. To find the total number of possible outcomes, we count the numbers on the spinner, which gives us 20.
Next, we need to determine the number of favorable outcomes, i.e., the perfect squares within these 20 numbers. The perfect squares between 1 and 20 are 1, 4, 9, and 16.
So, there are 4 favorable outcomes.
Finally, to calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Probability = 4 / 20
Probability = 1 / 5
Therefore, the correct answer is a. 5/20 which simplifies to 1/5.