If a student is chosen at random, find the probability of getting someone who is a man or a non-smoker. Round your answer to three decimal places.
********non***regular heavy total
man*****135*****64******5*****204
women***187****21*******9*****217
total***322****85*******14****421
Answer in decimal (round to nearest 3)
Please help me, I've taken more than an hour to figure this problem out! Please guys! Really appreciate it. Sorry for the stars, I had to make the chart so that it corresponds with the correct data!
I answered it earlier. It is easier to figure out without the asterisks
0.917
To find the probability of getting someone who is a man or a non-smoker, we need to find the total number of men and the total number of non-smokers, then divide it by the total number of students.
From the given data, we can see that there are:
- 204 men (135 non-regular, 64 regular, and 5 heavy smokers)
- 217 non-smokers (187 women and 21 men)
To find the probability, we need to add the number of men and non-smokers together (204 + 217 = 421), as it counts both men who are non-smokers.
Then, divide the sum by the total number of students (421 / 421 = 1).
Therefore, the probability of getting someone who is a man or a non-smoker is 1.000 (rounded to three decimal places).
To find the probability of getting someone who is a man or a non-smoker, we need to add the probabilities of two separate events: the probability of selecting a man and the probability of selecting a non-smoker.
To calculate the probability of selecting a man, we divide the number of men by the total number of students:
Probability of selecting a man = Number of men / Total number of students = 204 / 421
To calculate the probability of selecting a non-smoker, we divide the number of non-smokers by the total number of students:
Probability of selecting a non-smoker = Number of non-smokers / Total number of students = (64 + 21) / 421
Finally, we add the probabilities of these two events to get the probability of getting someone who is a man or a non-smoker:
Probability = Probability of selecting a man + Probability of selecting a non-smoker
Plugging in the values, we get:
Probability = (204 / 421) + ((64 + 21) / 421)
Now we can calculate the final answer by rounding to three decimal places.