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- anonymous

Maria has two fair coins. She flips them in the air. She believes it is equally likely they land 2 heads, 2 tails, or 1 head and 1 tail. Which of the following statements is NOT true?
Answers:
A. The probability of 2 heads is 25 %.
B. The probability of 1 head and 1 tail is 33 %.
C. The probability of 2 heads is less than the probability of 1 head and 1 tail.
D. The probability of either 2 heads or 2 tails is the same as the probability of 1 head and 1 tail.

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- anonymous

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- mathstudent55

Maria has it wrong.
Can you come up with all the possible outcomes of this coin toss?

- anonymous

... umm ok?

- mathstudent55

Fill in this table:
|dw:1364248207123:dw|
Remember, each coin can only have an outcome of heads or tails.

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- anonymous

Tail Tail
Head Head
Head Tail
Tail Head

- mathstudent55

Right. How many possible different outcomes are there?

- anonymous

Four

- anonymous

It is either B or C I cannot decide

- mathstudent55

Good. There are 4 possible outcomes.
1 outcome out of 4 is 2 heads (25% probability)
1 outcome out of 4 is 2 tails (25% probabilty)
2 outcomes out of 4 are 1 heads and 1 tails (50% probability)

- anonymous

So it is B?

- mathstudent55

Correct. The probabillity of 1 heads and 1 tails is 50%, not 33%.
That's why I wrote above Maria is wrong. She thought that all three outcomes have the same probabiltity.

- anonymous

Thank you! My teacher puts topics on our semester projects that she hasn't covered yet :P

- mathstudent55

I guess she's challenging her students. Part of your challenge is to come to OS and ask to try to figure it out. You're welcome.

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