We want to find the probability of drawing 3 red cards from a deck of 52 cards.
We will find that the probability is P = 0.1176
Let's see how to get that probability.
We know that a standard deck of 52 cards has:
- 26 red cards
- 26 black cards
And we assume that all the cards have the same probability of being drawn. Then the probability of drawing a red card in the first draw is just the quotient between the number of red cards and the total number of cards, we get:
p₁ = 26/52
For the second draw, we compute the probability in the same way, but now there are 25 red cards in the deck and 51 cards in total (because one is already drawn). Then the probability in this case is:
p₂ = 25/51
Finally, for the third card, we have 24 red cards and 50 total cards, then the probability will be:
p₃ = 24/50
The joint probability (the probability of drawing the 3 red cards in the same event) is the product of the individual probabilities.
P = p₁*p₂*p₃ = (26/52)*(25/51)*(24/50) = 0.1176
If you want to learn more, you can read:
brainly.com/question/10224828
