A coin is flipped 4 time consecutively in an experiment then
Find:
1. The probability of getting 4 head (HHHH)
2. The Probability of getting 4 Tails (TTTT)
3. The probability of getting 2 heads and 2 tails (HHTT or TTHH)
4. The Probability of getting 3 heads and 1 tail (HHHT or THHH or HTHH, HHTH)
5. The probability of getting 2 tails and 1 head (TTTH, TTHT, THTT, HTTT).
(Using the Binomial Formula for finding the probabilities).
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Answer:
1. 1/16
N=4: There is only one possible outcome that gives 4 heads, namely when each flip results in a head. The probability is therefore 1/16.
2. 0.83 is the probability of getting 4 Tails in 10 tosses.
3. The only other possible outcome is to have two heads and two tales. Since 10 of the 16 possible outcomes are not two heads the two tales, 6 possible out comes are. Thus the probability of two heads the two tales is 6/16 = 3/8.
4. Originally Answered: A coin is tossed 4 times. What is the probability of getting exactly 3 heads when it lands? From the 16 possible outcomes, 4 have exactly 1 tail (equivalent to 3 heads). Therefore 4/16=25% of the time exactly 3 heads will be obtained.
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