find the probablity of one head on tossing a coin twice
Answers
Step-by-step explanation:
The probability of an event is the chance that the event occurs.
We will start solving the question by writing the sample space when a fair coin is tossed twice.
We know that when a coin is tossed once, there are only two outcomes, heads or tails.
Therefore, when a coin is tossed twice, the possible outcomes are HH, HT, TH, TTHH, HT, TH, TT, where HH represents heads and TT represents tails. Here, the first letter denotes the outcome on the first toss, and the second letter denotes the outcome on the second toss.
Thus, the sample space is S={HH, HT, TH, TT}S={HH, HT, TH, TT}.
As there are four possible outcomes in the sample space, hence, the number of total outcomes is 4.
Next, we will find the number of times 2 heads are obtained when a fair coin is tossed twice.
We can observe that two heads appear only in the outcome HHHH in the sample space S={HH, HT, TH, TT}S={HH, HT, TH, TT}.
Answer:
1/2
Step-by-step explanation:
The outcomes will be HH , TT , HT , TH. = 4
So , one head probability is twice = HT , TH = 2
Probability = 2/4 = 1/2
Hope this helps you.
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