Consider 3 box models as follows, where the draws are made with replacement, and the sum of the draws is calculated.
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A: Step 1:Step 2:Step 3:Step 4:
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A: This question is related to algebraic operations, we will solve it using given information.
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Q: What is the Combination Rule?
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- To raise money for the local Veterans Affairs hospital, your friend organizes a fundraiser, inviting you to play a two-stage game where you pay $8 to play. The game works as follows: a fair 8-sided die is rolled, noting the number shown, and a spinner divided into 4 equal regions of different colors (blue, red, green, orange) is spun, noting the color. If the die shows 3 or the spinner shows orange, then you win $21. If the die shows an even number and the spinner does not show orange, then you win $9. Otherwise, you do not win anything. Let X be your net winnings. (a) Create a probability distribution for X. Enter the possible values of X in ascending order from left to right. All probabilities should be exact. X P(X) (b) Compute your expected net winnings for the game. Round your answer to the nearest cent. $ (c) Is this game fair? Yes NoA middle school has a student to teacher ratio of 15 to 1. This middle school feeds into a high school that currently has 138 students and 7 teachers. If the high school would like to maintain the student to teacher ratio of the middle school, what would they need to do? Fire 9 teachers Fire 2 teachers Hire 2 teachers Fire 5 teachers Hire 9 teachersJen collects toy sports cars. She has 800800 yellowyellow cars and 320320 blackblack cars. She wants to line up the cars in groups so that each group has the same number of cars and contains only yellowyellow cars or only blackblack cars. What is the largest number of cars that she can have in a group?
- Bruce, Clark and Diana found a box of old baseball cards in the attic. They sold 131 cards to a collector and then split the remaining cards equally among themselves. Then, Bruce gave 1/4 cards to Evan. If Evan was given 5 cards, how many cards were in the box when it was found? (Hint: work backwards)Sophia has a different bag only containing red grapes and green grapes. The number of grapes in her bag is different, but 4/9 of the grapes are also red. She picks out a red grape from her bag and eats it. 3/7 of the remaining grapes in her bag are red. How many of the remaining grapes in her bag are red and how many are green?in a game of cards, the two players each have 5 cards and 8 cards have been discarded. Assuming a standard deck of 52 playing cards, what is the fraction of the cards remain?