What is the sample space in choosing three coins experiment?

The sample space is S = [0,∞). E = [90,∞) is an event. Example 7 Keeping on tossing a coin until one gets a Heads. The sample space of this experiment is S = {H, T H, T T H, T T T H, . . .}.

What is the sample space if you throw a coin?

{h,t}
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 when 3 dice are thrown?

216
If three dice are thrown simultaneously, the total number of sample spaces = 216.

How many outcomes are there for tossing 3 coins?

8
We can represent head by H and tail by T. Now consider an experiment of tossing three coins simultaneously. The possible outcomes will be HHH, TTT, HTT, THT, TTH, THH, HTH, HHT. So the total number of outcomes is 23 = 8.

What is the probability of tossing 3 coins?

When three coins are tossed the total number of possible combinations are 23 = 8. These combinations are HHH, HHT, HTH, THH, TTH, THT, HTT, TTT. The number of combinations which have two heads and one tail are: HHT, HTH, TTH which makes them 3 in number.

When 3 coins are tossed possible outcomes is?

The number of different outcomes when three coins are tossed is 2 × 2 × 2 = 8. All eight possible outcome are HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT.

How many outcomes are there when tossing 3 dice?

216 outcomes
Possible Outcomes and Sums Just as one die has six outcomes and two dice have 62 = 36 outcomes, the probability experiment of rolling three dice has 63 = 216 outcomes. This idea generalizes further for more dice. If we roll n dice then there are 6n outcomes.

What are the outcomes when three coins are tossed?

Solution: When 3 coins are tossed, the possible outcomes are HHH, TTT, HTT, THT, TTH, THH, HTH, HHT.

When a coin is tossed there are 3 possible outcomes?

The possible outcomes will be HHH, TTT, HTT, THT, TTH, THH, HTH, HHT. So the total number of outcomes is 23 = 8. The above explanation will help us to solve the problems of finding the probability of tossing three coins.

What is the sample space of flipping 2 coins?

Answer: The sample space for tossing 2 coins is { TT, TH, HT, HH } and p(exactly 1 head) is 1/2. Let’s observe the experiment of tossing 2 coins. Explanation: Head(H), Tail(T) are two possible outcomes when we toss a coin.

What is the probability of tossing a coin 3 times?

Answer: If you flip a coin 3 times the probability of getting 3 heads is 0.125. When you flip a coin 3 times, then all the possibe 8 outcomes are HHH, THH, HTH, HHT, TTH, THT, HTT, TTT. Explanation: Possible outcomes are HHH, THH, HTH, HHT, TTH, THT, HTT, TTT.