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JohnnyCowCow
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.
Maria has it wrong. Can you come up with all the possible outcomes of this coin toss?
Fill in this table: |dw:1364248207123:dw| Remember, each coin can only have an outcome of heads or tails.
Tail Tail Head Head Head Tail Tail Head
Right. How many possible different outcomes are there?
It is either B or C I cannot decide
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)
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.
Thank you! My teacher puts topics on our semester projects that she hasn't covered yet :P
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.