Table of Contents
What is the sample space of an experiment that tosses a coin 3 times?
The sample space of a fair coin flip is {H, T}. The sample space of a sequence of three fair coin flips is all 23 possible sequences of outcomes: {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}. The sample space of a sequence of five fair coin flips in which at least four flips are heads is {HHHHH,HHHHT,HHHTH,HHTHH,HTHHH,THHHH}.
What is the sample space of a fair coin?
A sample space is the set of all possible outcomes of a random experiment. When you toss a coin, there are only two possible outcomes-heads (h) or tails (t) so the sample space for the coin toss experiment is {h,t} .
What will be the sample space when three coins are tossed what will be the probability of getting two heads?
3/8
Summary: The Probability of getting two heads and one tails in the toss of three coins simultaneously is 3/8 or 0.375.
What is the sample space of tossing a coin n times?
The sample space is the set of possible outcomes. There is no implied relative frequency of occurrence. For a coin toss, the sample space is {Heads,Tails}.
How do you find sample space?
Use the formula P = Specific Event / Sample Space to find the sample space. Use the variable S to represent sample space. There are 100 possible outcomes on this study on cereal brands. There are 123 possible outcomes on this study on milk brands.
What is the sample space of the coin toss experiment?
Ex 16.1, 1 Describe the sample space for the indicated experiment: A coin is tossed three times. When a coin is tossed, we get either heads or tails Let heads be denoted by H and tails cab be denoted by T Hence the sample space is S = {HHH, HHT, HTH, THH, TTH, HTT, THT, TTT}. Ex 16.1.
How many times can a coin be tossed?
A coin is tossed three times. When we tossed the coin first time, we will have two possible outcomes: heads or tails. At the second and third time we will also have two possible outcomes in each time: heads and tails. We denote H for head and T for tail.
How many events are there in the sample space?
So there are 8 events in the sample space. If we assume that the coin is fair then each event is equally possible, so all events mentioned in the sample space have probability of