Lauren has a normal deck of 52 playing cards. If she draws a random card from the deck, what is the probability that it will be a red Jack, a red Queen, or a red King?
To find the probability of drawing a red Jack, a red Queen, or a red King from a deck of 52 playing cards, we need to determine the number of favorable outcomes (cards that meet the criteria) and the total number of possible outcomes (all 52 cards).
1. Number of favorable outcomes:
There are 2 red Jacks (hearts and diamonds), 2 red Queens (hearts and diamonds), and 2 red Kings (hearts and diamonds). So, there are a total of 2 + 2 + 2 = 6 favorable outcomes.
2. Total number of possible outcomes:
There are 52 cards in a deck.
3. Calculate the probability:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 6 / 52 = 3 / 26
Therefore, the probability that Lauren will draw a red Jack, a red Queen, or a red King is 3/26.
To find the probability of drawing a red Jack, a red Queen, or a red King from a standard deck of 52 cards, we need to determine the number of favorable outcomes (cards that match the criteria) and the total number of possible outcomes (total cards in the deck).
1. Determine the number of favorable outcomes:
- There are 2 red Jacks in the deck (hearts and diamonds).
- There are 2 red Queens in the deck (hearts and diamonds).
- There are 2 red Kings in the deck (hearts and diamonds).
Therefore, there are a total of 6 favorable outcomes.
2. Determine the total number of possible outcomes:
- There are 52 cards in a standard deck.
3. Calculate the probability:
- Divide the number of favorable outcomes by the total number of possible outcomes.
Probability = number of favorable outcomes / total number of possible outcomes
Probability = 6 / 52
Simplifying the fraction, we get:
Probability = 3 / 26
Therefore, the probability of drawing a red Jack, red Queen, or red King from a normal deck of 52 playing cards is 3/26.
For a red Jack, 2/52. 2/52 can be reduced to 1/26.
For a red Queen, 2/52. This can also be reduced to 1/26.
For a red King, the probably would also be 2/52, or 1/26.
Hope I've helped.