What is the probability of flipping a coin 8 times and obtaining all heads?
A) $\frac{1}{8}$

B) $\frac { 255 } { 256 }$
C) $\frac { 1 } { 64 }$
D) $\frac { 1 } { 256 }$
E) $\frac{7}{8}$

Question

What is the probability of flipping a coin 8 times and obtaining all heads?
A) $\frac{1}{8}$

B) $\frac { 255 } { 256 }$
C) $\frac { 1 } { 64 }$
D) $\frac { 1 } { 256 }$
E) $\frac{7}{8}$

Quizplus · Accepted Answer

The probability of flipping a coin and getting heads is 1/2. If we flip it twice, the probability of getting heads both times is (1/2)x(1/2) = 1/4. Similarly, the probability of getting heads three times in a row is (1/2)x(1/2)x(1/2) = 1/8.

To find the probability of getting all heads in 8 flips, we need to multiply the probability of getting heads on each individual flip. So the probability is (1/2)x(1/2)x(1/2)x(1/2)x(1/2)x(1/2)x(1/2)x(1/2) = 1/256.

Therefore, the answer is D).

What Is the Probability of Flipping a Coin 8 Times 18\frac{1}{8}81​

What Is the Probability of Flipping a Coin 8 Times $\frac{1}{8}$