classroom has 30 students. The teacher wants to split the students into four groups. The teacher has 30 colored tiles, 8 of which are red, 8 of which are green, 7 of which are yellow, and 7 of which are blue. The teacher puts the tiles into a hat and asks each student to come up and randomly pick a colored tile out of the hat. Once the tile is selected, the student keeps the tile and returns to his or her desk. Determine whether each probability represents the occurrence of events as described when rounded to the nearest thousandth. Select Yes or No for each statement. Probability Yes No The probability that the first tile selected is yellow and that the second tile selected is yellow is 0.048. The probability that the first tile selected is red and that the second tile selected is green is 0.071. The probability that the first tile selected is red and that the second tile selected is blue is 0,064.
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.
![A classroom has 30 students. The teacher wants to split the students into four groups. The teacher has 30 colored tiles, 8 of which are red, 8 of which are green, 7 of which are yellow, and 7 of
which are blue. The teacher puts the tiles into a hat and asks each student to come up and randomly pick a colored tile out of the hat. Once the tile is selected, the student keeps the tile and
returns to his or her desk.
Determine whether each probability represents the occurrence of events as described when rounded to the nearest thousandth. Select Yes or No for each statement.
Probability
Yes
No
The probability that the first tile selected is yellow and that the second tile selected is yellow is 0.048.
The probability that the first tile selected is red and that the second tile selected is green is 0.071.
The probability that the first tile selected is red and that the second tile selected is blue is 0.064.
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