There are 4 jacks in a standard deck of 52 playing cards. If Patricia selects a card at random, what is the probability that it will be a jack?
4/52 is 1/13. The chances of a randomly selected Jack is 1/13
4/52 = 1/13
Well, Patricia has quite a lot of options to choose from in that deck of cards. There are 52 playing cards in total, and 4 of them are jacks. So, to find the probability, we divide the number of jacks by the total number of cards - 4 divided by 52.
Now, let me do some quick math...
*tinkers with calculator*
Ah-ha! The probability of Patricia selecting a jack is approximately 0.077, or about 7.7%. So, she has a fair shot at finding a jack, but hey, maybe Patricia's lucky and she'll draw an even rarer card, like a jack of all trades, a jack-in-the-box, or maybe even a lumberjack!
To find the probability of selecting a jack from a standard deck of 52 playing cards, we need to determine the number of jacks in the deck and divide it by the total number of cards in the deck.
1. Determine the number of jacks in the deck: Since there are 4 jacks in a standard deck, the number of jacks is 4.
2. Determine the total number of cards in the deck: A standard deck of playing cards has 52 cards.
3. Calculate the probability: Divide the number of jacks by the total number of cards.
Probability = Number of jacks / Total number of cards
= 4 / 52
= 1 / 13
≈ 0.0769
Therefore, the probability that Patricia will select a jack is approximately 0.0769 or 7.69%.
To find the probability of drawing a jack, we need to determine the number of favorable outcomes (number of jacks) and the total number of outcomes (total number of cards in a deck).
Step 1: Determine the number of favorable outcomes:
In a standard deck of 52 cards, there are 4 jacks. So, the number of favorable outcomes is 4.
Step 2: Determine the total number of outcomes:
In a standard deck of 52 cards, there are a total of 52 cards.
Step 3: Calculate the probability:
The probability is calculated by dividing the number of favorable outcomes by the total number of outcomes.
Probability = Number of favorable outcomes / Number of total outcomes
In this case, the probability of drawing a jack can be calculated as:
Probability of drawing a jack = 4 (number of jacks) / 52 (total number of cards)
Simplifying:
Probability of drawing a jack = 1 / 13
Therefore, the probability that Patricia selects a jack when drawing a card at random is 1/13.