You toss a fair coin 4 times. What is the probability that (round to 4 decimal places) a) you get all Heads? 0.0625 Correct b) you get at least one Tail?

a) Probability (all heads) = 0.03125

b) Probability (atleast one tail) = 0.25

Step-by-step explanation:

Total possible ways 0f 4 flips = 2^4 = 16

Probability of 4 flips=1/16 = 0.0625

a) Probability P (heads only)

Using combination

(heads only) = 4!/4 (4-0) !

(heads only) = 24/48 = 1/2 = 0.5

P (heads only) = 0.5 * 0.0625 = 0.03125

b) using combination

Atleast one tail = 4!/1 (4-1) ! = 4!/3!

At least one tail = 24/6 = 4

Probability (at least one tail) = 4 * 0.0625 = 0.25