Sage-Tips

What is the sample space of tossing a coin 4 times?

Originally Answered: How many outcomes will there be in the probability model for flipping a coin 4 times? If you mean the sample space, then the answer is 2^4=16, since there are two options for each flip. It can be either heads or tails.

What is the sample space of a coin tossed thrice?

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}.

What is the sample space when a coin is tossed twice?

Example 3 Tossing a coin twice. The sample space is S = {HH,HT,TH,TT}. E = {HH,HT} is an event, which can be described in words as ”the first toss results in a Heads. Example 4 Tossing a die twice.

When a coin is tossed 4 times the number of possible outcomes is?

16
We know that a coin can give heads or tails that is 2 outcomes. If it is tossed n times then it can give ${2^n}$ outcomes. Here it is being tossed 4 times it means it will give ${2^4} = 16$ outcomes. So, the total number of outcomes is 16.

What is the sample space of a 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 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 you toss a coin?

Eg : Tossing a coin 3 times would be the same as tossing a coin thrice. A coin tossed has two possible outcomes, showing up either a head or a tail. ⇒ The number of possible choices in tossing a coin = 2

What are the possible outcomes when two coins are tossed simultaneously?

When two coins are tossed simultaneously, the possible outcomes are (H, H), (H, T), (T, H), (T, T), which are all equally likely. Here (H, H) means head up on the first coin (say on Re 1) and head up on the second coin (Rs 2). Similarly (H, T) means head up on the first coin and tail up on the second coin and so on.

What is the sample space for Rolling a die and tossing?

The sample space is An experiment consists of rolling a die and tossing a coin once if the number on the die is even, If the number on the die is odd, the coin is tossed twice. S = { (2, H), (2, T), (4, H), (4, T), (6, H), (6, T), (1, HH), (1, HT), (1, TH), (1, TT),