SOLUTION: 1. A store has 6 TV Graphic magazines and 8 Newstime magazines on the counter. If two customers purchased a magazine, find the probability that one of each magazine was purchased.

Question 1200871: 1. A store has 6 TV Graphic magazines and 8 Newstime magazines on the counter. If two customers purchased a magazine, find the probability that one of each magazine was purchased. Express your in fraction.
2. A pair of dice an a coin are tossed, what is the probability that a sum of twelve and a head will occur.
3. An ordinary deck of 52 playing cards consist of 4 suits (2 of the suits are red and the remaining is black), each suits has 13 different cards. A card will be drawn, what is the probability of getting a black diamond?
4. In a probability experiment, the probability of each outcome is taken and the sum is computed and it is equal to 1. Is the sum of 1 for all probabilities of the outcome is correct?
a. yes b. no c. sometimes
5. The time it takes to have a medical physical exam, is an example of discrete random variable.
a. True b. false
6. The number of cheeseburgers a fast-food restaurant serves each day, is what type of random variables?
7. Probability of an event can be expressed in decimal figures.
a. yes b.no c. sometimes

Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

You are allowed only one question per post.

Problem 1 had been answered earlier here
https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1200872.html

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I'll do problem 2 to get you started.

Question 2:A pair of dice an a coin are tossed, what is the probability that a sum of twelve and a head will occur.

A = event of rolling a 12 on two dice
B = event of getting heads

P(A) = 1/36
This is because there's only one way to get a sum of 12 and that is 6+6 = 12
This is out of 6*6 = 36 possible dice rolls. Refer to a dice chart.

P(B) = 1/2 because there's 1 head out of 2 sides total.

P(A and B) = P(A)*P(B) ... independent events
P(A and B) = (1/36)*(1/2)
P(A and B) = 1/72 is the final answer to question 2.

As a thought experiment, imagine a table with 36 rows and 2 columns.
You do not have to actually draw this table out.
The 36 rows represent the 36 different dice rolls.
The 2 columns are the 2 outcomes for the coin.
This table has 36*2 = 72 inner cells. One of which has "rolling a sum of 12 and getting heads".
This is an alternative way to see why the answer is 1/72

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