i sorda know how to do this problem, but i am gonna ask anyway.
ADDITIONAL INFO:
consider a regular deck of cards without the jokers. Cards are replaced after each draw. Find the probability of each of the following.
QUESTION:
P(pair of red kings)
wow that's a hard one i have no idea sorry
Since you are replacing the card after the "event", you are looking at the same probablility in succession, where the first result has no effect on the next result.
To draw a red king?
How many red kings are there?
How many cards are there?
so P(one red king)=2/52 or 1/26
and then for two it would be 1/26*1/26
Can you figure out what it would be if the card is not replaced?
To find the probability of drawing a pair of red kings without replacing the card, you will need to consider the changes in probability with each draw. Let's break it down step by step:
1. Find the probability of drawing the first red king:
- There are two red kings in the deck (the King of Hearts and the King of Diamonds).
- Since there are 52 cards in total (without the jokers), the probability of drawing a red king as the first card is 2/52 or 1/26.
2. Find the probability of drawing the second red king:
- Since the card is not replaced after the first draw, the deck is left with only one red king and 51 cards remaining.
- Therefore, the probability of drawing the second red king is 1/51.
3. Multiply the probabilities together:
- To find the probability of both events happening (drawing two red kings in succession), you need to multiply the probabilities from step 1 and step 2 together.
- P(pair of red kings) = (1/26) * (1/51) = 1/1326.
Thus, the probability of drawing a pair of red kings without replacing the card is 1/1326.