IM 7.8.4 Lesson: Estimating Probabilities Through Repeated Experiments
Locate and label these numbers on the number line by dragging the points.
Choose one of the numbers from the previous question. Describe a game in which that number represents your probability of winning.
Mai plays a game in which she only wins if she rolls a 1 or a 2 with a standard number cube.
[list=1][*]List the outcomes in the sample space for rolling the number cube.[br][/*][*]What is the probability Mai will win the game? Explain your reasoning.[br][/*][*]If Mai is given the option to flip a coin and win if it comes up heads, is that a better option for her to win?[br][/*][*]Begin by dragging the gray bar below the toolbar down the screen until you see the table in the top window and the graph in the bottom window. This applet displays a random number from 1 to 6, like a number cube. Mai won with the numbers 1 and 2, but you can choose any two numbers from 1 to 6. Record them in the boxes in the center of the applet.[br]Click the Roll button for 10 rolls and answer the questions.[br][/*][/list]
What appears to be happening with the points on the graph?
After 10 rolls, what fraction of the total rolls were a win?
How close is this fraction to the probability that Mai will win?[br]
Roll the number cube 10 more times. Record your results in the table and on the graph from earlier.[br][br]After 20 rolls, what fraction of the total rolls were a win?
How close is this fraction to the probability that Mai will win?
For each situation, do you think the result is surprising or not? Is it possible? Be prepared to explain your reasoning.
You flip the coin once, and it lands heads up.
You flip the coin twice, and it lands heads up both times.
You flip the coin 100 times, and it lands heads up all 100 times.
If you flip the coin 100 times, how many times would you expect the coin to land heads up? Explain your reasoning.
If you flip the coin 100 times, what are some other results that would not be surprising?
You’ve flipped the coin 3 times, and it has come up heads once. The cumulative fraction of heads is currently [math]\frac{1}{3}[/math]. If you flip the coin one more time, will it land heads up to make the cumulative fraction [math]\frac{2}{4}[/math]?
IM 7.8.4 Practice: Estimating Probabilities Through Repeated Experiments
A carnival game has 160 rubber ducks floating in a pool. The person playing the game takes out one duck and looks at it.
[list][*]If there’s a red mark on the bottom of the duck, the person wins a small prize.[br][/*][*]If there’s a blue mark on the bottom of the duck, the person wins a large prize.[br][/*][*]Many ducks do not have a mark.[/*][/list][br]After 50 people have played the game, only 3 of them have won a small prize, and none of them have won a large prize.[br][br]Estimate the number of the 160 ducks that you think have red marks on the bottom. Then estimate the number of ducks you think have blue marks. Explain your reasoning.
Lin wants to know if flipping a quarter really does have a probability of [math]\frac{1}{2}[/math] of landing heads up, so she flips a quarter 10 times. It lands heads up 3 times and tails up 7 times. Has she proven that the probability is not [math]\frac{1}{2}[/math]? Explain your reasoning.
A spinner has four equal sections, with one letter from the word “MATH” in each section.
You spin the spinner 20 times. About how many times do you expect it will land on A?[br]
You spin the spinner 80 times. About how many times do you expect it will land on something other than A? Explain your reasoning.
A spinner is spun 40 times for a game. Here is a graph showing the fraction of games that are wins under some conditions.
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[/img][br][br]Estimate the probability of a spin winning this game based on the graph.
Which event is more likely: rolling a standard number cube and getting an even number, or flipping a coin and having it land heads up?
Noah will select a letter at random from the word “FLUTE.” Lin will select a letter at random from the word “CLARINET.”[br][br]Which person is more likely to pick the letter “E?” Explain your reasoning.