1.There is a 50% chance it will sleet on December 18 and a 60% chance it will sn
ID: 1168787 • Letter: 1
Question
1.There is a 50% chance it will sleet on December 18 and a 60% chance it will snow. The probability that it will both sleet AND snow is .25. What is the probability that there will be sleet OR snow on December 18?
P(Sleet)=.5 P(Snow)=.6 P(sleet and snow)=.25. Find P(sleet or snow)
2.At your high school reunion, 25% of the students in your class are attending WKU and 20% attend Murray State. Students cannot attend both. What is the probability that one of your classmates chosen at random attends either WKU or MSU?
P(WKU)=.25 P(MSU)=.2 and events A and B are mutually exclusive. Find P(A or B).
3.Twenty-five percent of your graduating class are attending WKU. Thirty percent wear glasses. There is no correlation between wearing glasses and attending WKU. What is the probability that you meet a student who wears glasses AND is attending WKU? What is the probability a student attends WKU OR wears glasses (or both)?
P(WKU)=.25 P(glasses)=.3 and attending WKU and wearing glasses are independent. Find P(student attends WKU AND wears glasses). Find P(student attends WKU or wears glasses).
4.P(A)=.75 P(B)=.1 and events A and B are independent. Find P(A|B).
5.P(A)=.5 P(A and B)=.05. Find P(B | A).
6.Your club has 20 members. You are in charge of producing a slate of 4 officers (president, vice president, secretary, and treasurer). How many different slates are possible?
1.There is a 50% chance it will sleet on December 18 and a 60% chance it will snow. The probability that it will both sleet AND snow is .25. What is the probability that there will be sleet OR snow on December 18?
P(Sleet)=.5 P(Snow)=.6 P(sleet and snow)=.25. Find P(sleet or snow)
2.At your high school reunion, 25% of the students in your class are attending WKU and 20% attend Murray State. Students cannot attend both. What is the probability that one of your classmates chosen at random attends either WKU or MSU?
P(WKU)=.25 P(MSU)=.2 and events A and B are mutually exclusive. Find P(A or B).
3.Twenty-five percent of your graduating class are attending WKU. Thirty percent wear glasses. There is no correlation between wearing glasses and attending WKU. What is the probability that you meet a student who wears glasses AND is attending WKU? What is the probability a student attends WKU OR wears glasses (or both)?
P(WKU)=.25 P(glasses)=.3 and attending WKU and wearing glasses are independent. Find P(student attends WKU AND wears glasses). Find P(student attends WKU or wears glasses).
4.P(A)=.75 P(B)=.1 and events A and B are independent. Find P(A|B).
5.P(A)=.5 P(A and B)=.05. Find P(B | A).
6.Your club has 20 members. You are in charge of producing a slate of 4 officers (president, vice president, secretary, and treasurer). How many different slates are possible?
Explanation / Answer
Ans 1. P (sleet or snow) = P (sleet) + P (snow) – P (sleet and snow) = 0.5 + 0.6 – 0.25 = 0.85
Ans 2. For mutually exclusive situations P(A or B) = P(A) + P(B) = 0.25 – 0.2 = 0.45
Ans 3. P(WKU and glasses) = P(WKU) x P(glasses) = 0.25 x 0.3 = 0.075
P(WKU or glasses) = P(WKU) + P(glasses) = 0.25 + 0.3 = 0.55
Ans 4. P(AIB) = P(A) = 0.75
Ans 5. P(BIA) = P(B) = P(A and B) / P(A) = 0.0.5 / 0.5 = 0.1
Ans 6. Possible different slates = 20 x 4 = 80
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