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In a standard deck of cards there are 13 spades, 13 clubs, 13 hearts, and 13 diamonds. The spades and the clubs are black and the hearts and the diamonds are red.

If two cards are chosen at random from a deck, one at a time, and replaced after each pick, what is the probability that a black card is chosen first and a heart is chosen second?

One-eighth
One-half
Two-thirds
Three-fourths

Respuesta :

CptLevi

Answer:

One-eighth

Step-by-step explanation:

26/52 * 13/52

abidemiokin

The probability that a black card is chosen first and a heart is chosen second is one-eighth

What is probability?

Probability is the likelihood or chance that an event will occur. Mathematically;

Probability = expected outcome/Total outcome

Since a deck of cards contains 52 cards, hence the total outcome is 52

If a black is chosen first, the probability of choosing a black is 26/52 = 1/2

If a heart is chosen second and replaced, the probability of choosing a heart is 13/52 = 1/4

Pr(black card and then heart) = 1/2 * 1/4

Pr(black card and then heart)  = 1/8

Hence the probability that a black card is chosen first and a heart is chosen second is one-eighth

Learn more on probability here: https://brainly.com/question/24756209

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