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in which case are you likely to get all heads from flipping a , if you...

in which case are you likely to get all heads from flipping a , if you flip a fair coin twice or if you flip a coin ten times

Math   Statistics-And-Probability   
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Answer #1

Case1:

When a coin is flipped twice, the total number of outcomes are so the sample points are
Probability of getting all heads=.

Case 2:

When the coin is flipped 10 times, the sample space contains outcomes, and only one outcome has all heads.

Probability of getting all heads=

So since the probability in case 1 is more than that in case 2.

We are likely to get all heads when a coin is flipped twice.

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