Question

If a coin is flipped 10 times, what is the probability that it will show tails all 10 times?

O A.
OB.
B. 512
C.
1,022
D. 1,024
OE. 2,048

Answer 1

D.
`(1)/(1024)`

Explanation:

The probability that a coin flip shows tails is

`(1)/(2)`

Then flipping the coin again for it to show tails again is

`(1)/(2) * (1)/(2) = (1)/(4)`

Thus, the probability that a coin flip shows tails 10 times in a row is

`((1)/(2) )^(10) = (1)/(1024)`