What is the probability of drawing an ace and a 10, Jack, Queen, or King from a deck of cards?
prob = 2(4/52)(16/51) = 32/663 or 0.02413
or using the "choose" notation,
C(4,1)C(16,1)/(52,2) = 64/1326 = 32/663
16 out of 52 or 4 out of 13
I don't understand how you did that.
(You're supposed to draw 2 cards - an ace and a 10, an ace and a Jack, an ace and a Queen, or an ace and a King).
10
Apologies for the confusion. The probability of drawing an ace and either a 10, Jack, Queen, or King from a deck of cards can be calculated as follows:
First, we determine the probability of drawing an Ace from the deck. There are 4 Aces in a deck of 52 cards, so the probability of drawing an Ace is 4/52.
Next, we determine the probability of drawing a 10, Jack, Queen, or King from the remaining cards after drawing an Ace. Since there are 16 of these cards (4 each), the probability of drawing one of them is 16/51.
To find the probability of both events happening, we multiply the two probabilities:
P(Ace and 10, J, Q, or K) = (4/52) * (16/51)
= 64/2652
= 8/327.
So, the probability of drawing an Ace and either a 10, Jack, Queen, or King from a deck of cards is 8/327.
To determine the probability of drawing an ace and a 10, Jack, Queen, or King from a deck of cards, we need to calculate the number of favorable outcomes and the total number of possible outcomes.
First, let's find the total number of possible outcomes. In a standard deck of 52 cards, there are 4 aces and 16 cards that are either a 10, Jack, Queen, or King. So, the total number of possible outcomes is 4 (aces) multiplied by 16 (cards 10, J, Q, K) which equals 64.
Now, we need to determine the number of favorable outcomes, which is the number of ways we can draw an ace and one of the specified cards. Since there is only one ace of each suit and there are 16 specified cards, the number of favorable outcomes is 4 (number of aces) multiplied by 16 (number of specified cards) which equals 64.
Therefore, the probability of drawing an ace and one of the specified cards is the number of favorable outcomes divided by the total number of possible outcomes:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Probability = 64 / 64
The probability of drawing an ace and a 10, Jack, Queen, or King from a deck of cards is 1 or 100%.