Jax is using the spinner shown for a probability experiment. The outcomes of his first 32 spins are in the table.
Spinner Probability Experiment
Type of Number Number of Outcomes
Odd 20
Even 12
Based on the information in the table, in how many out of the next 80 spins will the spinner land on an odd number?
Since Jax has already spun the spinner 32 times, there are 80 - 32 = <<80-32=48>>48 spins left.
From the table, we can see that the probability of the spinner landing on an odd number is 20/32 = 5/8.
Out of the next 48 spins, the number of times the spinner will land on an odd number can be calculated by multiplying the probability by the number of spins: (5/8) * 48 = 30
Therefore, the spinner will land on an odd number in 30 out of the next 80 spins. Answer: \boxed{30}.
To determine how many times the spinner will land on an odd number in the next 80 spins, we can analyze the probability of landing on an odd number based on the outcomes of the first 32 spins.
In the first 32 spins, there were 20 outcomes that resulted in an odd number. The total number of outcomes in the first 32 spins is given by:
Total outcomes = Number of odd outcomes + Number of even outcomes = 20 + 12 = 32
The probability of getting an odd number in the first 32 spins can be calculated as:
Probability of odd outcome = Number of odd outcomes / Total outcomes = 20 / 32 = 5/8
Now, we can use this probability to estimate the number of odd outcomes in the next 80 spins. The expected number of odd outcomes is the product of the probability of an odd outcome (5/8) and the total number of spins (80):
Expected number of odd outcomes = Probability of odd outcome * Total number of spins = (5/8) * 80
Simplifying:
Expected number of odd outcomes = (5/8) * 80 = 50
Therefore, based on the information in the table, it is expected that the spinner will land on an odd number approximately 50 times out of the next 80 spins.