Topic 8 79 Unit 2 - Uncertainty Basic Probability Tools (cont.) Activity 8.3 Patterns in Multi-Flip Coin Experiments (cont.) (oc) alod ulded 2 yI 3. What would you expect in a 10-flip experiment? Try to quantify the following (aHow many outcomes will there be in the sample space of a 10-flip coin experiment? Explain. (b) How many different bars will there be in the probability distribution graph for this experiment (assuming that we keep counting the number of heads as our outcome value)? Explain. (c) What is the probability that we get 0 heads in one run of our 10-flip coin experiment? Explain. (d) What Explain. the probability that we get 1 or more heads in one run of our 10-flip coin experiment? What is the probability that we get 0 or 1 heads in one run of our 10-clip coin experiment? Explain. 4. Clearly, it's a little unreasonable to write out the sample space for a 10-flip coin experiment. When mathematicians reach a point where the most basic approach isn't realistic, they look for patterns that might lead to a formula for the quantity they are trying to count or measure. Indeed, such a formula exists and it's been programmed into many different online calculators. It is called the binomial probability formula because it calculates probabilities arising from random processes with only two outcomes. :12t aoult r re:
Topic 8 79 Unit 2 - Uncertainty Basic Probability Tools (cont.) Activity 8.3 Patterns in Multi-Flip Coin Experiments (cont.) (oc) alod ulded 2 yI 3. What would you expect in a 10-flip experiment? Try to quantify the following (aHow many outcomes will there be in the sample space of a 10-flip coin experiment? Explain. (b) How many different bars will there be in the probability distribution graph for this experiment (assuming that we keep counting the number of heads as our outcome value)? Explain. (c) What is the probability that we get 0 heads in one run of our 10-flip coin experiment? Explain. (d) What Explain. the probability that we get 1 or more heads in one run of our 10-flip coin experiment? What is the probability that we get 0 or 1 heads in one run of our 10-clip coin experiment? Explain. 4. Clearly, it's a little unreasonable to write out the sample space for a 10-flip coin experiment. When mathematicians reach a point where the most basic approach isn't realistic, they look for patterns that might lead to a formula for the quantity they are trying to count or measure. Indeed, such a formula exists and it's been programmed into many different online calculators. It is called the binomial probability formula because it calculates probabilities arising from random processes with only two outcomes. :12t aoult r re:
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Topic 8
79
Unit 2 - Uncertainty
Basic Probability Tools (cont.)
Activity 8.3 Patterns in Multi-Flip Coin Experiments (cont.)
(oc) alod ulded
2 yI
3. What would you expect in a 10-flip experiment? Try to quantify the following
(aHow many outcomes will there be in the sample space of a 10-flip coin experiment? Explain.
(b) How many different bars will there be in the probability distribution graph for this experiment
(assuming that we
keep counting the number of heads as our outcome value)? Explain.
(c) What is the probability that we get 0 heads in one run of our 10-flip coin experiment? Explain.
(d) What
Explain.
the probability that we get 1 or more heads in one run of our 10-flip coin experiment?
What is the probability that we get 0 or 1 heads in one run of our 10-clip coin experiment?
Explain.
4. Clearly, it's a little unreasonable to write out the sample space for a 10-flip coin experiment. When
mathematicians reach a point where the most basic approach isn't realistic, they look for patterns that
might lead to a formula for the quantity they are trying to count or measure. Indeed, such a formula
exists and it's been programmed into many different online calculators. It is called the binomial
probability formula because it calculates probabilities arising from random processes with only two
outcomes.
:12t aoult r re:
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