Suppose you draw 5 cards out of a deck of 52 and get
2 spades and 3 hearts. What is the probability that the first card drawn was a spade?
To find the probability that the first card drawn was a spade, we need to divide the number of favorable outcomes by the total number of possible outcomes.
The number of favorable outcomes in this case is 2, as we want the first card drawn to be a spade.
The total number of possible outcomes is 52, since there are 52 cards in a deck.
Therefore, the probability that the first card drawn was a spade is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 2 / 52
Simplifying the fraction, we get:
Probability = 1 / 26
So, the probability that the first card drawn was a spade is 1/26.