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What is the experimental probability of rolling one die 100 times and getting a 1 or a 2 39 times?
Experimental probability depends on each trial. It is not known until you conduct the trial. You are probably talking about theoretical probability in the question.
The solve this problem, simplify it...
The probability of rolling a 1 or a 2 in a standard six sided die is 1 in 3, or about 0.3333. Remember this, because I'm going to change the problem.
Think about throwing a coin. What is the probability of throwing 39 heads in 100 coin tosses? Its the same problem, and I'll show this at the end.
The probability of throwing a head is 1 in 2, or 0.5. The probability of throwing 39 heads in 100 coin tosses is more difficult.
The real question is, what is the number of combinations of 100 things taken 39 at a time? Sound familiar? It better. Each of those 39 events corresponds to a head, and the 100 things is the number of coin tosses. The answer is that the number of combinations of 100 things taken 39 at a time is 100! / (39! (100-39)!), or about 9.0139 x 1027.
Since probability is the number of permutations of the desired outcome divided by the number of permutations of the possible outcome, simply divide the above number by 100!, or 9.3326 x 10157, getting about 9.6585 x 10-131.
Now, back to the original problem. We were talking about a six-sided die, and wanting a sample space of 6, but coins have a a sample space of 2. Reconsider and you find that the actual sample space is 3, because we want a 1 or a 2, so multiply 9.6585 x 10-131 by 2/3 to get 6.439 x 10-131. That is the probability of rolling a 1 or a 2 exactly 39 times in 100 rolls.
From Rafaelrz:
You have two possible events in a single throw of the die: A, die comes out 1 or 2; B, die comes out 3,4,5,or 6.
Probability of events are; P(A) is 1/3, P(B) is 2/3.
If you want 39 'A' events in a trial of 100 throws, the number of ways this events
can happen ( in which number of throw they appear ) is given by the number of
combinations above calculated nCr (n is 100, r is 39) with the result of about
9.01392403 x 1027.
Then, the probability of getting 39 'A' events in a trial of 100 throws is:
100C39 x [P(A)]39 x [P(B)]61 equal to 9.01392403 x 1027 x (1/3)39 x (2/3)61
equal to 0.040329065 ( Theoretical probability )
What else can I help you with?
What is the experimental probability of rolling a 4 in the trial shown?
To determine the experimental probability of rolling a 4, you need to divide the number of times a 4 was rolled by the total number of rolls conducted in the trial. For example, if a 4 was rolled 3 times out of 20 rolls, the experimental probability would be 3/20, or 0.15. This probability reflects the observed outcomes based on the specific trial conducted.
A number cube was rolled as part of an experiment. The results are shown in the table. Explain how to find the experimental probability of rolling a 6.?
To find the experimental probability of rolling a 6, you first need to determine the number of times a 6 was rolled during the experiment. Then, divide that number by the total number of rolls recorded in the table. The resulting fraction represents the experimental probability of rolling a 6. For example, if a 6 was rolled 5 times out of 30 total rolls, the experimental probability would be 5/30, which simplifies to 1/6.
What is the experimental probability of getting tails on a coin toss after tossing it 100 times and getting tails 60 times?
It is 60/100 = 0.6
A coin is tossed 60 times It landed on heads 21 times what is the experimental probability of getting heads?
1/2
What is the probability of rolling a dice 2 times and getting 4 each time?
The probability of rolling a 4 on a six-sided die is 1/6. When rolling the die twice, the events are independent, so the probabilities multiply. Therefore, the probability of rolling a 4 both times is (1/6) * (1/6) = 1/36. Thus, the probability of rolling a 4 on both rolls is 1/36.
What is the experimental probability of rolling a 4 in the trial shown?
To determine the experimental probability of rolling a 4, you need to divide the number of times a 4 was rolled by the total number of rolls conducted in the trial. For example, if a 4 was rolled 3 times out of 20 rolls, the experimental probability would be 3/20, or 0.15. This probability reflects the observed outcomes based on the specific trial conducted.
When rolling one die 12 times what is the probability of rolling a 2?
The probability of rolling at least one 2 when rolling a die 12 times is about 0.8878. Simply raise the probability of not rolling a 2 (5 in 6, or about 0.8333) to the 12th power, getting about 0.1122, and subtract from 1.
What is the experimental probability of getting tails on a coin toss after tossing it 100 times and getting tails 60 times?
It is 60/100 = 0.6
A coin is tossed 60 times It landed on heads 21 times what is the experimental probability of getting heads?
1/2
What is the probability of rolling 2 dice and getting 2 6s?
The probability is: 1/6 times 1/6 = 1/36
What are the odds of rolling a dice 5 times and getting 2 sixes?
The probability is approx 0.1608
When rolling a dice 9 times what is the probability of getting a six every time?
1/6
How do you find experimental-probability?
To find the experimental probability of an event you carry out an experiment or trial a very large number of times. The experimental probability is the proportion of these in which the event occurs.
What are theoretical and expierimental probability?
Theoretical probability is the probability of something occurring when the math is done out on paper or 'in theory' such as the chance of rolling a six sided dice and getting a 2 is 1/6. Experimental probability is what actually occurs during an experiment trying to determine the probability of something. If a six sided dice is rolled ten times and the results are as follows 5,2,6,2,5,3,1,4,6,1 then the probability of rolling a 2 is 1/3. The law of large numbers states the more a probability experiment is preformed the closer to the theoretical probability the results will be.
What is the probability of rolling the sum of two if you roll a pair of dice sixty times?
The probability of getting a sum of 2 at least once is 0.8155
The probability of rolling 5 40 times is 12 What is the probability of rolling 5 500 times?
Probability is a number between 0 and 1. The probability of an event cannot be 12.
What is the difference between experimental and theoretical probability?
The difference between experimental probability and theoretical probability is that experimental probability is the probability determined in practice. Theoretical probability is the probability that should happen. For example, the theoretical probability of getting any single number on a number cube is one sixth. But maybe you roll it twice and get a four both times. That would be an example of experimental probability.
