he probability of obtaining seven heads in a row when flipping a coin is Choose
ID: 3051854 • Letter: H
Question
he probability of obtaining seven heads in a row when flipping a coin is Choose the correct answer to fill in the blank) OA. 0.99219 O B. 0.00781 O C. 002210 O D. 0 25000 nterpret the fo Choose the correct answer below O A. If the process of flipping a coin seven times is repeated one hundred different times,it is expected that obtaining seven heads in a row would occur about 1 times O B. If the process of flipping a coin seven times is repeated one hundred different times, it is expected that obtaining seven heads in a row would occur about 4 times O C. If the process of flipping a coin seven times is repeated one thousand different times, it is expected that obtaining seven heads in a row would occur about 1 timesExplanation / Answer
Solution:
Probability of getting a head when flipping a coin is P(H) = 1/2
Therefore, probability of obtaining seven heads in a row, is
P{1st head and 2nd head and 3rd head and 4th head and 5th head and 6th head 7th head}
= P(1st head) P(2nd head) P (3rd head) P(4th head) P(5th head)
= P(H).P(H).P(H).P(H).P(H).P(H).P(H)
= 1/2.1/2.1/2.1/2.1/2.1/2.1/2
= 1/128
= 0.00781
The required probability is 0.00781.
Interpretation:
A. If a coin is flipped seven times, one hundred different times, it is expected that seven heads in a row would occur about 1 times.
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