# How many outcomes would there be in the sample space for rolling 2 dice and flipping 5 coins?

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** How many outcomes are in the event where nobody rolls a six? If they can’t roll a six, there are 5 other numbers to roll, and either coin-flip is still allowed. So each person has 2×5=10 possible outcomes. Since there are 5 people, there are 105 possible outcomes.

## How many outcomes would there be in the sample space for rolling 2 dice and flipping 4 coins?

1) Consider the experiment of flipping of 4 coins. If we assume that each individual coin is equally likely to come up heads or tails, then each of the above 16 outcomes to 4 flips is equally likely. Each occurs a fraction one out of 16 times, or each has a probability of 1/16.

## How many outcomes are in the sample space when you roll two dice and flip two coins?

Rolling two six-sided dice: Each die has 6 equally likely outcomes, so the sample space is 6 • 6 or 36 equally likely outcomes. Flipping three coins: Each coin has 2 equally likely outcomes, so the sample space is 2 • 2 • 2 or 8 equally likely outcomes.

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First coin Second coin outcome
T T TT

## What is the sample space of flipping 2 coins?

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 probability of flipping 4 heads in a row?

The probability of getting 4 heads in a row is 1/2 of that, or 1/16.

## What is the probability of flipping a coin 4 times and getting 2 heads?

Thus the probability is: 2/8=0.25 but the correct answer is 0.375.

## How many ways can 7 coins fall when tossed together?

If you are also interested in the actual order of the heads and tails, there are 2^7 = 128 different outcomes because each individual toss can lead to two possible outcomes — and because order matters, you need to multiply the possible outcomes of each individual toss with each other: 2*2*2*2*2*2*2 = 2^7.

## What do you call the result of a random experiment?

1 Random Experiments. … In particular, a random experiment is a process by which we observe something uncertain. After the experiment, the result of the random experiment is known. An outcome is a result of a random experiment. The set of all possible outcomes is called the sample space.

## What is the probability of getting a 7 when rolling 2 dice?

Probabilities for the two dice

Total Number of combinations Probability
4 3 8.33%
5 4 11.11%
6 5 13.89%
7 6 16.67%

## When two sided dice are rolled There are 36 possible outcomes?

Every time you add an additional die, the number of possible outcomes is multiplied by 6: 2 dice 36, 3 dice 36*6 = 216 possible outcomes.

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