Question

1 select the correct answer. the following cards were dealt from a shuffled standard deck of cards: spades: 3, 4, 6, j, q, k clubs: a, 2, 5, 7, j, k hearts: a, 2, 5 diamonds: a, 2, 3, 6, k based on the dealt cards, what is the experimental probability of dealing a black card? a. 40% b. 25% c. 60% d. 50%

Explanation:

Step1: Count total cards

Count the number of dealt cards. Spades has 6 cards, clubs has 6 cards, hearts has 3 cards and diamonds has 5 cards. So, $6 + 6+3 + 5=20$ cards in total.

Step2: Count black - colored cards

Spades and clubs are black - colored suits. The number of black - colored cards is $6 + 6 = 12$.

Step3: Calculate experimental probability

The formula for experimental probability $P$ is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes (dealing a black card) is 12 and the total number of outcomes is 20. So, $P=\frac{12}{20}=0.6$.

Step4: Convert to percentage

To convert the decimal to a percentage, multiply by 100. $0.6\times100 = 60\%$.

Answer:

C. 60%