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What is the probability of drawing a Jack on the first draw and a heart on the second draw from a deck of 52 cards?
The probability of drawing a Jack on the first draw from a standard deck of cards is 4 in 52. The probability of drawing a heart on the second draw is 13 in 51 (if the Jack was not a heart) or 12 in 51 (if the Jack was a heart). Multiply these two probabilities together, and you get 52 in 2652, or about 0.01961 for the case of the Jack not being a heart, and 48 in 2651, or about 0.01811 for the case of the Jack being a heart.
What is the probability of getting a spade on the first draw and a heart on the second?
13/204
What is the probability of drawing a heart in a deck of cards?
The probability, if you draw 40 cards, without replacement, is 1. That is, it is a certainty. The probability on a single random draw is 1/4.
What is the probability of a card being a heart?
One in four for any random draw. In mathematical terms 1:4.
You take a card from an ordinary pack of 52 cards and note the suit. The card is returned into the pack and a second card is taken. What is the probability that the cards are a heart and a spade?
There are four suits in a deck of cards with equal numbers of cards per suite, so the chance of drawing a heart is 1/4 and a spade is 1/4 too. To draw a heart, replace it, then draw a spade, 1/4x1/4 = 1/16, or a 6.25% chance.
