You toss a coin two times 4. List the sample space __________________________________ 5. The number of events in the sample space is _________ 6. The probability of getting 2 heads is _____________
Question
You toss a coin two times 4. List the sample space __________________________________ 5. The number of events in the sample space is _________ 6. The probability of getting 2 heads is _____________
Solution
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The sample space of tossing a coin two times is {HH, HT, TH, TT}. This represents all possible outcomes: getting two heads (HH), getting a head and then a tail (HT), getting a tail and then a head (TH), and getting two tails (TT).
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The number of events in the sample space is 4. Each of the four outcomes (HH, HT, TH, TT) is considered an event.
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The probability of getting 2 heads (HH) is 1/4 or 0.25. This is calculated by dividing the number of favorable outcomes (1, in this case HH) by the total number of outcomes (4, in this case HH, HT, TH, TT).
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