Question

A dealer dealt the following cards from a shuffled deck: 3 playing-card spade symbol, 2 playing-card club symbol, 2 playing-card heart symbol, a evaluation of statistical model validity playing card symbol diamonds, represented in quadrilateral shape with four sides, k evaluation of statistical model validity playing card symbol diamonds, represented in quadrilateral shape with four sides, q playing-card heart symbol, k playing-card club symbol, 5 playing-card club symbol, 2 evaluation of statistical model validity playing card symbol diamonds, represented in quadrilateral shape with four sides, 6 playing-card spade symbol, 4 playing-card spade symbol, 5 playing-card heart symbol, k playing-card heart symbol, 2 evaluation of statistical model validity playing card symbol diamonds, represented in quadrilateral shape with four sides, 7 evaluation of statistical model validity playing card symbol diamonds, represented in quadrilateral shape with four sides, 6 evaluation of statistical model validity playing card symbol diamonds, represented in quadrilateral shape with four sides, a playing-card club symbol, j playing-card club symbol, j playing-card heart symbol, a playing-card heart symbol. What was the experimental probability of dealing a black card?

1) 50%
2) 25%
3) 75%
4) Cannot be determined

Answer 1

The experimental probability of dealing a black card is found by dividing the number of black cards dealt (8) by the total number of cards dealt (20), resulting in a probability of 0.4 or 40%, which is not one of the listed options.

Step-by-step explanation:

The experimental probability of dealing a black card is calculated by looking at the ratio of black cards dealt (spades and clubs) to the total number of cards dealt. In this scenario, the cards that were dealt include several spades and clubs, which are both black suits in a standard deck of playing cards.

To find the experimental probability, we count the number of black cards dealt and divide it by the total number of cards dealt. Let's count the black cards first: we have 3 spades and 5 clubs, which sums up to 8 black cards. Now we count the total number of cards dealt, which is 20.

The formula for experimental probability is:
P(Black Card) = Number of Black Cards Dealt / Total Number of Cards Dealt

Substituting the values we have:
P(Black Card) = 8 / 20 = 0.4 or 40%

Therefore, the correct answer is not listed in the options provided.