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A4 Math gr7 23-24 Form C Online

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Question 1
Philippe knows there is a $20\%$ chance that it will rain tomorrow and an $80\%$ chance that it will not rain tomorrow.

Part A
Philippe considers making a spinner to simulate the probability of it raining tomorrow. Describe what the spinner could look like and the steps he should take to perform the simulation.

Respond in the space provided.

Question 2
Part B
Philippe used a spinner to perform $10$ trials to simulate the probability of it raining tomorrow. He observed $4$ outcomes that it will rain tomorrow.

Is Philippe’s estimated probability representative of the theoretical probability of it raining tomorrow? Explain why or why not.
Provide the estimated probability from Philippe’s simulation and the theoretical probability of it raining tomorrow.
Respond in the space provided.

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User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
4 months ago

Question 1

The spinner that Philippe could make would have 2 sections, one for rain and one for no rain. The rain section would take up $20\%$ of the spinner and the no rain section would take up $80\%$. To perform the simulation, Philippe would spin the spinner 10 times and record the outcomes of each spin. He would then compare the number of times it landed on rain to the number of times it landed on no rain to estimate the probability.

Question 2
Philippe's estimated probability from his simulation is $4$ outcomes out of $10$ trials, which is $40\%$. The theoretical probability of it raining tomorrow is $20\%$. Philippe's estimated probability is not representative of the theoretical probability because it is higher than the actual probability. This could be due to chance or error in the simulation process.