To solve this problem, we need to understand that a standard deck of cards has 52 cards: 26 of them are black (clubs and spades) and 13 are hearts.

Step 1: Calculate the probability of drawing a black card first. This is 26 black cards out of a total of 52 cards, which is 26/52 = 0.5 or 50%.

Step 2: After drawing one black card, there are now 51 cards left. The probability of drawing a heart is now 13 hearts out of 51 total cards, which is 13/51 ≈ 0.255 or 25.5%.

Step 3: The probability of both events happening is the product of their individual probabilities. So, 0.5 (probability of drawing a black card) * 0.255 (probability of drawing a heart after) = 0.1275 or 12.75%.

Rounding to the nearest whole number, the answer is 13%. So, the correct answer is b.) 13%.

Question

To solve this problem, we need to understand that a standard deck of cards has 52 cards: 26 of them are black (clubs and spades) and 13 are hearts.

Step 1: Calculate the probability of drawing a black card first. This is 26 black cards out of a total of 52 cards, which is 26/52 = 0.5 or 50%.

Step 2: After drawing one black card, there are now 51 cards left. The probability of drawing a heart is now 13 hearts out of 51 total cards, which is 13/51 ≈ 0.255 or 25.5%.

Step 3: The probability of both events happening is the product of their individual probabilities. So, 0.5 (probability of drawing a black card) * 0.255 (probability of drawing a heart after) = 0.1275 or 12.75%.

Rounding to the nearest whole number, the answer is 13%. So, the correct answer is b.) 13%.

Knowee AI · Accepted Answer

To solve this problem, we need to understand that a standard deck of cards has 52 cards: 26 of them are black (clubs and spades) and 13 are hearts.

Step 1: Calculate the probability of drawing a black card first. This is 26 black cards out of a total of 52 cards, which is 26/52 = 0.5 or 50%.

Step 2: After drawing one black card, there are now 51 cards left. The probability of drawing a heart is now 13 hearts out of 51 total cards, which is 13/51 ≈ 0.255 or 25.5%.

Step 3: The probability of both events happening is the product of their individual probabilities. So, 0.5 (probability of drawing a black card) * 0.255 (probability of drawing a heart after) = 0.1275 or 12.75%.

Rounding to the nearest whole number, the answer is 13%. So, the correct answer is b.) 13%.

In a standard deck of cards, what is the probability of drawing a black card followed by drawing a heart? Answer choices are in the form of a percentage, rounded to the nearest whole number.a.)10%b.)13%c.)75%d.)26%

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