MATH: statistic/ probalitity -Randint - need help problem with #8-6 (a-d) - rela

Question

MATH: statistic/ probalitity
-Randint
- need help problem with #8-6 (a-d)
- related questions
- please explain/show steps/answer to the question

Investigate how many streaks of five or more heads or tails in a row you would expect when you tossed a coin two hundred times. 8-6. a. Since this is a complicated probability, a computer simulation will help. Model the coin toss by entering MATH PRB randint(0,1,200)[STOP]_LI] into your calculator. In List1 you will find the 200 coin tosses. b. Use a tally sheet to count the number of streaks of five or more (it does not matter if it is a streak of heads or a streak of tails). c. Share your results with your team. How did the teacher know that Poala made up her results?

Explanation / Answer

Check the two patterns carefully.

The probability of getting a minimum of five heads or tails is almost equal to one.Hence you find at least one occurrence of that event.

In the case of the second pattern, there is no such pattern.Hence we can say that it's the made up one.

Let’s find out minimum number of trails required is x, then to get say five heads is ..

the possible outcomes would be

T           ……….………….(x+1)/2

HT…………………………..(x+2)/4

HHT……………………….(x+3)/8

HHHT……………………(x+4)/16

HHHHT………………..(x+5)/32

HHHHH…………………..5/32

X=(x+1)/2+(x+2)/4+(x+3)/8+(x+4)/16+(x+5)/32

X=62

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