Welcome to the fascinating realm of probability, where the probability deck of cards worksheet serves as a captivating tool to explore the intricate world of chance and outcomes. This worksheet delves into the fundamental concepts of probability, providing a comprehensive understanding of how to calculate the likelihood of specific events occurring when drawing cards from a deck.
As we embark on this mathematical journey, we will uncover the secrets of probability distribution, unraveling the mysteries of drawing a particular card suit, a specific hand, or even a sequence of cards. Through engaging exercises and insightful explanations, this worksheet empowers learners to master the art of predicting outcomes and making informed decisions based on probability.
Probability of Drawing a Card: Probability Deck Of Cards Worksheet
The probability of drawing a card from a deck is determined by the number of cards in the deck and the number of cards of the desired type. The probability of drawing a specific card is calculated by dividing the number of cards of that type by the total number of cards in the deck.
Probability of Drawing a Card Suit, Probability deck of cards worksheet
| Card Suit | Number of Cards | Probability of Drawing | Cumulative Probability |
|---|---|---|---|
| Hearts | 13 | 1/4 | 1/4 |
| Diamonds | 13 | 1/4 | 1/2 |
| Clubs | 13 | 1/4 | 3/4 |
| Spades | 13 | 1/4 | 1 |
Probability of Drawing a Card Number
| Card Number | Number of Cards | Probability of Drawing | Cumulative Probability |
|---|---|---|---|
| Ace | 4 | 1/13 | 1/13 |
| 2 | 4 | 1/13 | 2/13 |
| 3 | 4 | 1/13 | 3/13 |
| 4 | 4 | 1/13 | 4/13 |
| 5 | 4 | 1/13 | 5/13 |
| 6 | 4 | 1/13 | 6/13 |
| 7 | 4 | 1/13 | 7/13 |
| 8 | 4 | 1/13 | 8/13 |
| 9 | 4 | 1/13 | 9/13 |
| 10 | 4 | 1/13 | 10/13 |
| Jack | 4 | 1/13 | 11/13 |
| Queen | 4 | 1/13 | 12/13 |
| King | 4 | 1/13 | 1 |
Calculating Cumulative Probability
The cumulative probability of drawing a card is the probability of drawing that card or any card of a lower value. For example, the cumulative probability of drawing a heart is 1/4, and the cumulative probability of drawing a heart or a diamond is 1/2.
FAQ Section
What is the probability of drawing an ace from a standard deck of cards?
There are 4 aces in a standard deck of 52 cards. Therefore, the probability of drawing an ace is 4/52 = 1/13.
What is the probability of drawing a pair of kings from a shuffled deck?
There are 4 kings in a deck of 52 cards. The probability of drawing the first king is 4/52. After drawing the first king, there are 3 kings remaining in a deck of 51 cards. The probability of drawing the second king is 3/51. Therefore, the probability of drawing a pair of kings is (4/52) x (3/51) = 1/221.
What is the probability of drawing a royal flush (A, K, Q, J, 10 of the same suit) from a shuffled deck?
There are 4 royal flushes in a deck of 52 cards. Therefore, the probability of drawing a royal flush is 4/52 = 1/13.
