What are the possible outcomes when 3 coins are tossed?
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.
How many elements are in the sample space?
In the case of a single toss, the sample space has two elements that interchangeably, may be denoted as, say, {Head, Tail}, or {H, T}, or {0, 1}, There are six possible outcomes and the sample space consists of six elements: {1, 2, 3, 4, 5, 6}.
Which of the following represents the sample space of flipping a coin 3 times?
There are lots of phenomena in nature, like tossing a coin or tossing a die, whose outcomes cannot be predicted with certainty in advance, but the set of all the possible outcomes is known. These are what we call random phenomena or random experiments.
What is the sample space of tossing 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} .
When three coins are tossed simultaneously write the sample space and sample points?
Hint: If 3 coins are tossed then sample space will be S= {HHH, HHT, HTH, HTT, THH, TTH, THT, TTT}.
What is the probability of getting 3 heads or 3 tails in tossing 3 coins?
Answer: The probability of flipping a coin three times and getting 3 tails is 1/8.
What is the sample space in tossing 3 coins experiment?
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}.
How many elements are in the sample space of tossing 3 different colored dice?
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 elements of tossing a coin?
In tossing a coin, the sample space consists of 2 outcomes – getting heads, and getting tails. Each of these outcomes (heads and tails) could be considered an event. Each event has 1 matching element in the sample space.
What is the sample space of tossing 5 coins?
32
Answer: The size of the sample space of tossing 5 coins in a row is 32.
How many sample space are there in tossing 5 coins?
How many elements are in the sample space when you toss a coin and roll a pair of dice?
Rolling a die has 6. Thus, the sample space of the experiment from simultaneously flipping a coin and rolling a die consisted of: 2 × 6 = 12 possible outcomes.
