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What is the theoretical probability that there will be exactly three male puppies?
Wiki User
∙ 14y ago
Wikipedia tells me that the average litter size for a (female dog, since the b word apparently can't be used even in the correct context) is six. I'll exclude other litter sizes for simplicity.
This turns the question into a simple binomial probability distribution (each puppy of the six can be either male or female,) so I use the formula:
P(x)= (n!/x!(n-x)!) · p^x · (1-p)^(n-x)
Plug in the numbers:
P(x=3) = (6!/3!(6-3)!) · 0.5^3 · (1-0.5)^(6-3)
P(x=3) = 20 · 0.125 · 0.125
P(x=3) = 0.3125 = 5/16
Wiki User
∙ 14y ago
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Three dice are tossed what is the probability that the same number appears on exactly two of the three dice?
The probability is 90/216 = 5/12
What is the theoretical probability of tossing three coins?
it is 1/3 uhhh be specific because on apex its 3/8
What is the probability of getting exactly two heads in three coin tosses?
33%
A coin is flip 8 times and the probability that the result have exactly have three heads?
It is 0.1042
How would you compare theoretical probability and experimental probability for getting three heads to the theoretical probability. would you expect the probabilities to be equal .?
I'm going to assume you're looking for the probability of getting three heads out of three coin spins and that you're using a fair coin. For coin spins, theoretical probability is very simple. The probability of getting three heads in a row is 1/2 * 1/2 * 1/2 = 1/8. This means that if you tossed a coin three times, you'd expect to see three heads once every 8 trials. For experimental probability you need to define clear trials, for this experiment you can't just spin a coin over and over and count the number of times you see three heads in a row, for example, if you threw the following: H T H H T T H H H H H T T H T T T you have three cases where you have three heads in a row, but they all overlap so these are not independent trials and cannot be compared to the theoretical result. When conducting your experiment, you know that if you get a T in your trial, it doesn't matter what comes after, that trial has already failed to get three heads in a row. The trial is deemed a success if you get three heads in a row, naturally. As a result, if you threw the above sequence, you would to determine your experimental probability in the following way: H T fail H H T fail T fail H H H success H H T fail T fail H T fail T fail T fail In this example we have 8 trials and one success, therefore the experimental probability is 1/8. The sample variance (look it up), however is also 1/8, meaning that all you really know is that the experimental probability could be anywhere between 0 and 1/4. The only way to get the variance down (and therefore reduce your confidence interval) is to perform more and more trials. It's unlikely for the theoretical probability and experimental probability to be EXACTLY the same but the more trials you do, the more the experimental probability will converge on the theoretical probability.
What is the probability of tossing three coins and having exactly two of them show tails?
2 out of 8
What is the probability of randomly selecting a three-children family with exactly two girs?
It is 3/8.
What is the probability of rolling exactly one 4 in three rolls of a dice?
3/18 I think
What is the probability of exactly 3 girls out of three children?
There is no simple answer to the question because the children's genders are not independent events. They depend on the parents' ages and their genes.However, if you assume that they are independent events then, given that the probability of a girl is approx 0.48, the probability of three out of three being girls is 0.1127.
You flip 3 coins what is the probability that you get exactly 3 heads?
There is a 1/8 chance to land three heads.
A fair coin is tossed three times find the probability of getting exactly 2 heads?
3 out of 8
What is the probability of getting exactly three heads when you flip a coin four times?
If it is a fair coin, the probability is 1/4.If it is a fair coin, the probability is 1/4.If it is a fair coin, the probability is 1/4.If it is a fair coin, the probability is 1/4.
