What is the probability of getting 5 tails in a row?
1/32
Non-Solution #5: At first glance it might seem that since the probability of getting 3 heads in a row is 1/8 and the probability of getting 5 tails in a row is 1/32, that getting 3 heads in a row first should occur 4 times as often.
What is the probability of getting exactly 5 heads?
Probability of getting exactly 5 heads = 252/1,024 = 24.6\%.
How many outcomes are there of 8 coins are tossed?
When you toss 8 coins there are 256 equally likely outcomes. You can find this by taking the number of outcomes, 2 (heads or tails), and raising it to the power of the number of events, 8. 2^8 =256. Of these 256 equally likely outcomes, exactly 8 will consist of one head.
What is the probability of flipping a coin 5 times?
There are two possibilities for each of the five tosses of the coin, so there are 25=32 possible outcomes in your sample space, as you found. What is the probability that heads never occurs twice in a row? Your proposed answer of 13/32 is correct.
What is the probability of 5 heads and 5 tails?
63/256
If two coins are tossed 5 times, then the probability of getting 5 heads and 5 tails is. = 63/256.
How many different outcomes have exactly 5 heads and 5 tails?
252
So, the number of ways of arranging 5 heads and 5 tails is 252.
How many different outcomes have exactly 5 heads?
This way of counting becomes overwhelming very quickly as the number of tosses increases. For example, how many ways are there to get exactly 5 heads in 10 tosses of a coin? There are 1,024 possible sequences of heads and tails in 10 tosses of a coin; 252 of them contain exactly 5 heads.
What is the probability of getting 8 heads in a row?
The fair coin is tossed 8 times. P(H)=1/2 and P(T)=1/2 every toss. The probability of getting 8 heads is (1/2)^8=1/256.
What is the probability of getting 5 heads in 8 tosses?
A fair coin is tossed 8 times find the probability that it shows heads exactly 5 times. On a given toss (a Bernoulli trial), p= P (head) = 1/2 and q =P (tail) =1−p = 1/2. The probability of getting exactly five heads in eight tosses is obtained using the binomial probability formula P (n−k)
What is the probability of two fair coins being tossed simultaneously?
Question: Two fair coins are tossed simultaneously. What is the probability of getting only one head? Solution: When 2 coins are tossed, the possible outcomes can be {HH, TT, HT, TH}. Thus, the total number of possible outcomes = 4. Getting only one head includes {HT, TH} outcomes. So number of desired outcomes = 2.
How many possible outcomes are there when 3 coins are tossed?
When 3 coins are tossed, the possible outcomes can be {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}. Thus, total number of possible outcomes = 8 Getting at least 2 tails includes {HTT, THT, TTH, TTT} outcomes.
What if my heads and Tails don’t have the same probability?
(Optional) If your heads and tails don’t have the same probability of happening, go into advanced mode, and set the right number in the new field. Remember that in classical probability, the likelihood cannot be smaller than 0 or larger than 1. The coin flip probability calculator will automatically calculate the chance for your event to happen.