Question

Suppose you draw a card from a well-shuffled deck of 52 cardsWhat is the probability of drawing a 2 or a queen?

Answer 1

`(2)/(13)`

Explanation:

Probability is finding the chance that some specific outcome will occur. In this case, we are looking for the probability of one of two outcomes.

Equally Likely Outcomes

When drawing a card from a well-shuffled deck, all outcomes (cards) are equally likely to be drawn. Each card was a 1/52 probability of occurring.

Probability of Two Outcomes

In a deck of cards, there are 4 cards of each number. This means that the probability of drawing a 2 is 4/52, the same for a queen.

So, to find the probability of one of the two desired outcomes is equal to adding the probabilities together.

• 
  `(4)/(52) +(4)/(52) =(8)/(52)`

This fraction can then be simplified further:

• 
  `(2)/(13)`