2 Students in a math class were divided into three groups. Each group was given a paper bag filled with an unknown number of marbles of unknown colors. For each bag, a marble was drawn at random and then put back. Each group repeated this procedure until they recorded 50 draws from the bag. The data for the three bags is shown below.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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Using Experimental Probability
Solve the problems.
In the cafeteria, there are 7 teachers, 48 girls, and 45 boys. What is the probability that a
person chosen at random from the cafeteria is a boy?
11
11
B
20
2 Students in a math class were divided into three groups. Each group was given a paper bag
filled with an unknown number of marbles of unknown colors. For each bag, a marble was
drawn at random and then put back. Each group repeated this procedure until they recorded
50 draws from the bag. The data for the three bags is shown below.
BAG A
BAG B
BAG C
Number of
Marbles
Number of
Number of
Color
Color
Marbles
Color
Marbles
Red
39
Red
10
Red
White
White
15
White
15
Yellow
Yellow
15
Yellow
7
Purple
Purple
10
Purple
25
Choose True or False for each statement.
3moke
a. In Bag B, it appears to be equally likely to draw
a white marble as it is a yellow marble.
True
False
b. The probability of drawing a yellow marble from
Bag C is approximately 7%.
True
False
c. The probability of drawing a purple marble from
Bag A after 200 draws is likely 0.
True
False
d. If marbles from Bag C were drawn 10,000 times,
about 600 red marbles are likely to be drawn.
True
False
e. Each bag definitely contains an equal number
of marbles.
OTrue UFalse
294
Lesson 31 Experimental Probability
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