How many possible outcomes are there when a six sided die is rolled and a coin is flipped at the same time?
Table of Contents
- 1 How many possible outcomes are there when a six sided die is rolled and a coin is flipped at the same time?
- 2 What is the probability that you roll a die and flip a coin and get an even number and a head?
- 3 What is the theoretical probability of rolling a 6?
- 4 What are the possible outcomes when rolling a die?
- 5 When rolling a regular 6 sided die and flipping a coin What is the probability of getting tails and an even number enter your answer as a fraction?
- 6 What is the theoretical probability of rolling a 6 on two dice?
How many possible outcomes are there when a six sided die is rolled and a coin is flipped at the same time?
Explanation: When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes.
What is the probability that you roll a die and flip a coin and get an even number and a head?
Let p1 denote the probability of a head when the coin is flipped and p2 denote the probability of an even number when a dice is tossed. The outcomes being independent, probability of rolling a head and an even number= p1*p2. When the coin and dice are unbiased, p1=p2= 1/2. Hence required answer is 1/4.
What is the theoretical probability of rolling a 6?
Two (6-sided) dice roll probability table
| Roll a… | Probability |
|---|---|
| 6 | 5/36 (13.889\%) |
| 7 | 6/36 (16.667\%) |
| 8 | 5/36 (13.889\%) |
| 9 | 4/36 (11.111\%) |
What is the expected payoff of this game?
Expected value is a measure of what you should expect to get per game in the long run. The payoff of a game is the expected value of the game minus the cost. If you expect to win about $2.20 on average if you play a game repeatedly and it costs only $2 to play, then the expected payoff is $0.20 per game.
When you roll a die What are the six possible outcomes?
The set of all the possible outcomes is called the sample space. Thus the numbers on the die become the set. The sample space has six possible outcomes: {1, 2, 3, 4, 5, 6}.
What are the possible outcomes when rolling a die?
For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the “event” happening. For instance, “rolling an even number” is an event that corresponds to the set of outcomes {2, 4, 6}.
When rolling a regular 6 sided die and flipping a coin What is the probability of getting tails and an even number enter your answer as a fraction?
Explanation: The coin is fair, the probabilities of getting a head and a tail are equal to 12 . The probability of getting an even number on a die is 36=12 because among 6 results there are 3 even numbers.
What is the theoretical probability of rolling a 6 on two 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\% |
What’s the expected value of throwing a dice up to 3 times?
Hence, the expected payoff of three roll is 4.67, which is the answer to our problem!
What is the expected value of rolling two dice?
The expectation of the sum of two (independent) dice is the sum of expectations of each die, which is 3.5 + 3.5 = 7. Similarly, for N dice throws, the expectation of the sum should be N * 3.5. If you’re taking only the maximum value of the two dice throws, then your answer 4.47 is correct.