Table of Contents
- 1 What is the probability of rolling a 1 and then rolling a 2?
- 2 What is the probability of rolling a 2 on a single die?
- 3 What is the probability of rolling a dice and getting either a 1 or a 6 if the events are mutually exclusive?
- 4 What are the probability of a single die?
- 5 How many possible outcomes are there if you flip 2 coins and roll a die?
- 6 What is the probability of rolling a 3 and flipping tails?
- 7 What is the probability of rolling a number on a die?
- 8 What is the probability of rolling a coin and getting heads?
What is the probability of rolling a 1 and then rolling a 2?
Based on this, you correctly conclude that a one and a two occurs with probability 236, or 118. So far, so good. Next, suppose you roll two identical dice instead.
What is the probability of rolling a 2 on a single die?
1/6
Probability of a certain number with a Single Die.
| Roll a… | Probability |
|---|---|
| 1 | 1/6 (16.667\%) |
| 2 | 1/6 (16.667\%) |
| 3 | 1/6 (16.667\%) |
| 4 | 1/6 (16.667\%) |
What is the probability of rolling a 2 on a die and flipping a coin and getting heads at the same time?
The first is the Product Rule. This states that the probability of the occurrence of two independent events is the product of their individual probabilities. The probability of getting two heads on two coin tosses is 0.5 x 0.5 or 0.25. A visual representation of the toss of two coins.
What is the probability of rolling a 3 and getting heads?
1/4
N=3: To get 3 heads, means that one gets only one tail. This tail can be either the 1st coin, the 2nd coin, the 3rd, or the 4th coin. Thus there are only 4 outcomes which have three heads. The probability is 4/16 = 1/4.
What is the probability of rolling a dice and getting either a 1 or a 6 if the events are mutually exclusive?
If a die is rolled once, then the probability of getting 1 is 1/6, and the probability of getting 6 is also 1/6.
What are the probability of a single die?
One Die Rolls: The Basics of Probabilities There is only one outcome you’re interested in, no matter which number you choose. Probabilities are given as numbers between 0 (no chance) and 1 (certainty), but you can multiply this by 100 to get a percentage. So the chance of rolling a 6 on a single die is 16.7 percent.
How do you solve dice probability problems?
The work out of this is as follows: Probability = Number of desired outcomes ÷ Number of possible outcomes = 3 ÷ 36 = 0.0833. The percentage comes out to be 8.33 per cent. Also, 7 is the most likely result for two dice.
What is the probability of getting tails on a coin flip and then rolling a 3 on a die?
The possibility of rolling a 3 on a fair die and getting tails on a coil is 112 .
How many possible outcomes are there if you flip 2 coins and roll a die?
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 of rolling a 3 and flipping tails?
The possibility of rolling a 3 on a fair die and getting tails on a coil is 112 . Based on this probability, there are 12 possible outcomes. As only 1 out of 12 possiblities would get this outcome, it is not a likely outcome.
What is the difference between rolling a die and flipping a coin?
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).
How many outcomes are there when you flip a coin?
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 of rolling a number on a die?
The probability of rolling a specific number on a die is 1 out of 6 and the probability of a tail is 1 out of 2 ( assuming a fair die and coin). Hence, the probability of both occurring is 1/6 x 1/2 = 1/12.
What is the probability of rolling a coin and getting heads?
Assuming that the coin is ‘fair’ (i.e. a regular coin), the classical interpretation is that the probability of getting heads is exactly 0.5. Again, assuming fair die, the probability of getting any value when rolling is uniformly distributed, so 1/6 for any given value.