is the probability that a player draws out two tiles of the same color assuming they are drawing one tile from each bag.
Step-by-step explanation:
In each bag there are red, green, and blue tiles, meaning that no matter which color is pulled out first there is always some probability that the second tile will be the same color. So, we can set up three possible outcomes:
Red: The player pulls out a red tile first. This has a probability of happening. Then in order to succeed for the problem, the next tile also needs to be red which has a probability attached to it. × = probability of happening.
Green: There is a probability of the player pulling out a green tile first. In this case we want to calculate the probability of the second tile being green, which would be . ×=.
Blue: There is a probability of the first tile being blue in which case we are hoping for the second tile to be blue as well. The probability of the second tile being blue is on its own, and them both being blue is ×=
There are a total of 297 students in the 7th grade. Rough estimates would say that about half of that number are boys and half are girls. Asking only 50 random girls would be biased because not only would it not be all of the girls (the number of girls would be around 148 or 149) but it would also be ignoring the roughly 148 to 149 boys there are on estimate. The sample would be biased because it would be ignoring the opinions of more than half the seventh grade.