Find each probability. Write your answer in simplest form.
I am a bit confused on what they mean when they say write the answer in simplest form.
Picking a diamond from a standard deck of playing cards which has 13 cards in each of the four suits: spades, hearts, diamonds and clubs.
I am not sure about this one.
Please help.
Simplest form is a reduced fraction.
13/52 = 1/4
Hello so is the probability answer just 1 out of 4?
Does it make sense to you?
Yes and no.
Take a common deck of cards. Deal them into suits. How many diamonds are there? What fraction of the entire deck is the diamond suit?
When they say to write the answer in simplest form, they are asking you to express the probability as a fraction in its simplest form. This means that the numerator and denominator of the fraction should not have any common factors other than 1.
In the given scenario, we are picking a diamond from a standard deck of playing cards which has 13 cards in each suit. There are a total of 52 cards in the deck.
To find the probability of picking a diamond, we need to determine the number of favorable outcomes (diamond cards) and the total number of possible outcomes (cards in the deck).
Number of favorable outcomes: There are 13 diamond cards in the deck.
Total number of possible outcomes: There are 52 cards in total.
Therefore, the probability of picking a diamond can be calculated as:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
= 13 / 52
To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 13.
13 ÷ 13 = 1
52 ÷ 13 = 4
So, the simplified fraction is 1/4.
Hence, the probability of picking a diamond from a standard deck of playing cards is 1/4, and this is the answer you should provide when asked to write it in simplest form.