SOLUTION: You are given the following data Light smoker Smoker Men 50 200 Women 60 10 Find the probability that a person selected is man or light smoker,, Find the probability t

Question 1192373: You are given the following data
Light smoker Smoker
Men 50 200
Women 60 10
Find the probability that a person selected is man or light smoker,,
Find the probability that a person selected is woman or light smoker,,

Find the probability that a person selected is a smoker man,,
If a man is selected Find the probability that he is a smoker?
Answer by CPhill(1959) (Show Source): You can put this solution on YOUR website!
**1. Calculate Total Individuals**
* Total individuals = (Men: Light Smokers + Smokers) + (Women: Light Smokers + Smokers)
* Total individuals = (50 + 200) + (60 + 10) = 320
**2. Probability of Man or Light Smoker**
* **Find the number of individuals who are either men or light smokers:**
* Men: 50 (light smokers) + 200 (smokers) = 250
* Women: 60 (light smokers)
* Total: 250 (men) + 60 (light smoker women) = 310
* **Probability:** 310 / 320 = **0.96875**
**3. Probability of Woman or Light Smoker**
* **Find the number of individuals who are either women or light smokers:**
* Women: 60 (light smokers) + 10 (smokers) = 70
* Men: 50 (light smokers)
* Total: 70 (women) + 50 (light smoker men) = 120
* **Probability:** 120 / 320 = **0.375**
**4. Probability of Smoker Man**
* **Number of smoker men:** 200
* **Probability:** 200 / 320 = **0.625**
**5. Probability of Smoker Given Man**
* **Probability of being a man:** (50 + 200) / 320 = 250 / 320 = 0.78125
* **Probability of being a smoker given that the person is a man:**
* (Number of smoker men) / (Total number of men)
* 200 / 250 = **0.8**
**Summary**
* Probability of man or light smoker: 0.96875
* Probability of woman or light smoker: 0.375
* Probability of smoker man: 0.625
* Probability of smoker given man: 0.8

RELATED QUESTIONS
You are given the following data Light smoker Smoker Men 50 200 Women 60 10 Find... (answered by Edwin McCravy)

The table below descrives the smoking habits of a group of asthma sufferers.... (answered by stanbon)

1. The table below describes the smoking habits of a group of asthma sufferers. Men (answered by jim_thompson5910)

Please help with this probability question. Needing detail solution steps. Find the... (answered by stanbon)

I do not understand this at all and need some help please. The table below describes... (answered by richwmiller,stanbon)

This question involves tobacco use. Men that are non-smokers= 387, Ocassional smokers=... (answered by stanbon)

Please help me solve this problem. The table below describes the smoking habits of a... (answered by stanbon)

16) The table below describes the smoking habits of a group of asthma sufferers.... (answered by ewatrrr)

One individual is randomly selected from 500: Wrinkles Wrinkles (answered by ikleyn)