SOLUTION: an unbiased coin is tossed six times. What is the probability that it will land heads: a) exactly three times? b) at most three times? c) on the first an and last toss?

Question 891952: an unbiased coin is tossed six times. What is the probability that it will land heads:
a) exactly three times?
b) at most three times?
c) on the first an and last toss?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
There are 64 possible outcomes.
0 heads - 1
1 head - 6
2 heads - 15
3 heads - 20
4 heads - 15
5 heads - 6
6 heads - 1
.
.
.
a)
b)
c) Of the 64, only half of them start with a head on the first toss.
Of those 32, only half of them end with a head on the last toss.

RELATED QUESTIONS
A coin is tossed 9 times. What is the probability that the coin will land heads at least... (answered by stanbon,Edwin McCravy)

an unbiased coin is tossed 5 times. find the probobility that , there are exactly 4... (answered by fractalier)

If an unbiased coin is tossed, what is the probability that it lands a. Heads up b.... (answered by farohw)

If a coin is tossed 7 times what is the probability that the coin will land on heads 5... (answered by robertb)

an unbiased coin is tossed 5 times find the probability of the given event. the coin... (answered by robertb)

Coin Tosses: A coin is to be tossed six times. What is the probability of obtaining... (answered by sudhanshu_kmr)

If a coin was tossed four times, what is the probability that the coin will land on heads (answered by Fombitz)

an unbiased coin is tossed 5 times. what is the probability the coin lands heads more... (answered by robertb)

Suppose a fair coin is tossed 12 times. How many different sequences of heads and... (answered by Edwin McCravy)