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use a table to identify all possible outcomes of two independent events
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For a picnic, Rosanna prepared three kinds of sandwiches: ham, chicken, and cheese. She also wrapped up pieces of apple and cherry pie. Pauloosi picked a sandwich and a piece of pie. Make a table to show
all the possible combinations of sandwiches and pie Pauloosi could have picked.
Rosanna prepared 5 ham sandwiches, 6 chicken sandwiches, and 4 cheese sandwiches. Pauloosižs favourite is chicken. If he chooses without looking, what is the probability that he will get his favourite?
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use simulation or experimentation to solve probability problems
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A breakfast cereal company has randomly placed one of four prizes in each cereal box it manufactures. How many cereal boxes do you need to buy to be sure you will collect at least one of each prize?
Use the Monte Carlo method to find out how many cereal boxes you will need. Choose either a four-sided die, or a spinner with four 90 sectors. Then complete a chart like the following, documenting the number of throws or spins required to get at least one of each prize.
In Trial 1, it took 12 throws to get at least one tally mark in each column. This would imply that 12 boxes of cereal would need to be purchased in order to get
at least one of each prize. Try some more trials and compare the results.
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create and solve problems using the
definition of probability as favourable outcomes over total outcomes
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In pairs, draw a card from a deck of playing cards and record its value, regardless of the suit. Replace the card and draw again, recording the results. After doing this experiment 20 times, calculate the probability of drawing a jack from a standard deck of cards. Compare your results with another pair. Calculate the probability of drawing a jack based on the combined results of
the class. Compare the results from your pair with those of the class. Calculate the theoretical probability of drawing a jack from a regular deck of cards and compare it to the experimental results.
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Statistics and Probability (Chance and Uncertainty)
