SOLUTION: You toss a fair coin 4 times. What is the probability that (round to 4 decimal places)
a) you get all Heads?
b) you get at least one Tail?
Algebra.Com
Question 1182186: You toss a fair coin 4 times. What is the probability that (round to 4 decimal places)
a) you get all Heads?
b) you get at least one Tail?
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
Part (a)
1/2 represents the probability of getting heads because there's one side we want out of 2 total.
The probability of getting four heads in a row is (1/2)^4 = 1/16 = 0.0625
Answer: 0.0625
==================================
Part (b)
When flipping four coins, you either could get all four heads or you could get at least one tail. Both events cannot happen at the same time. This means the two events are complementary.
Imagine throwing a dart at a map. If we define the events "hits land" and "hits water", then the two events are complementary. One or the other, but not both, must happen. Or going back to the coin flip, the events "heads" and "tails" are complementary since there only two sides to a coin.
Complementary probabilities always add to 1
A = event getting all four heads
B = event of getting at least one tail
P(A) + P(B) = 1
P(B) = 1 - P(A)
P(B) = 1 - 0.0625
P(B) = 0.9375
0.0625 was the probability of getting all four heads, so 0.9375 is the probability of anything else (getting one or more tails).
Side note: he decimal 0.9375 converts to the fraction 15/16
Answer: 0.9375
RELATED QUESTIONS
You toss a fair coin 4 times. What is the probability that (round to 4 decimal places)
(answered by ikleyn)
You toss a fair coin 4 times. What is the probability that you get all heads... (answered by greenestamps,Alan3354)
If you toss a fair coin 11 times, what is the probability of getting all heads?
(answered by stanbon)
if you toss a coin 3 times, what is the probability that you will
get 3... (answered by rapaljer)
You toss a fair coin 4 times. What is the probability of at least one head? Round to the... (answered by Edwin McCravy)
What is the probability that you will get heads four times in a row when flipping a fair... (answered by ewatrrr)
what is the probability that when flipping a fair coin you get ten consecutive... (answered by josmiceli)
what is the probability that you will get heads four times is a row when flipping a fair... (answered by stanbon,rfer)
What is the probability that you will get heads four times in a row when flipping a fair... (answered by Alan3354)