Time remaining:
Give the sample space to show all possible outcomes for tossing three coins at a time?

label Algebra
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Add on to question:

Based on the question, how many outcomes consists of 3 heads or 3 tails.

Mar 21st, 2015

The sample space is the set of all possible outcomes of the experiment. So for tossing three coins, and denoting each coin's result as H or T, the possible outcomes are:

{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

So, we can see that one outcome (HHH) corresponds to getting 3 heads at a time, and one outcome (TTT) corresponds to getting 3 tails (hence the probability of each is 1/8, i.e. one outcome of 8 possible outcomes total).

Mar 21st, 2015

So the answer to the add on is 1/8?

Mar 21st, 2015

I think the add-on simply asks you how many possible outcomes for each, so the answer would be 1. 1/8 is the probability.

Mar 21st, 2015

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Mar 21st, 2015
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Mar 21st, 2015
Jun 28th, 2017
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