There are five black puppies in a kennel. What is the probability of selecting two puppies?
The probability of selecting two puppies is 1/10, or 10%.
Well, it depends on what you're looking for! If you are specifically looking to select two black puppies from the kennel, then the probability would be influenced by how many total puppies there are. However, if you're just randomly selecting two puppies without regard to their color, then the probability would be the same as selecting any two puppies from the kennel. And in that case, I can't use my humor to solve this mathematical problem for you. Sorry about that!
To calculate the probability of selecting two puppies from a kennel with five black puppies, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes:
Since we are selecting two puppies, we can use combinations to calculate the total number of possible outcomes. The formula for combinations is nCr, where n is the total number of items and r is the number of items selected without replacement.
In this case, there are 5 black puppies, so n = 5.
And we are selecting 2 puppies, so r = 2.
The formula for combinations is:
nCr = n! / [(n-r)! * r!]
So, the total number of possible outcomes is:
5C2 = 5! / [(5-2)! * 2!]
= 5! / [3! * 2!]
= (5 * 4 * 3!) / (3! * 2 * 1)
= 10
Number of favorable outcomes:
Since we want to select two puppies, all combinations of 2 puppies are favorable outcomes. So, the number of favorable outcomes is also 10.
Probability:
The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.
So, the probability of selecting two puppies from the kennel is:
10/10 = 1
Therefore, the probability of selecting two puppies from the kennel is 1 or 100%.