As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King).

If you select a card at random, what is the probability of getting:

(C). A number smaller than 8 (counting the ace as a 1)?

7/13

To find the probability of selecting a number smaller than 8 (counting the ace as a 1), first, we need to determine the total number of cards that satisfy this condition.

There are 4 suits in a deck of cards. Out of the 13 cards in each suit, the numbers smaller than 8 (Ace included as 1) are Ace, 2, 3, 4, 5, 6, and 7. So, each suit has 7 cards that fulfill this condition.

Since there are 2 suits of black cards (clubs and spades) and 2 suits of red cards (hearts and diamonds), there are a total of 2 x 7 = 14 black cards and 2 x 7 = 14 red cards that are smaller than 8.

Now, let's calculate the probability:

Total number of cards that are smaller than 8 = Number of black cards smaller than 8 + Number of red cards smaller than 8
= 14 + 14
= 28

Total number of cards in the deck = 52

Therefore, the probability of selecting a card that is smaller than 8 is:

P(Number smaller than 8) = Number of cards smaller than 8 / Total number of cards in the deck
= 28 / 52
= 7 / 13

So, the probability of getting a number smaller than 8 (counting the ace as a 1) when selecting a card at random is 7/13.

To calculate the probability of getting a number smaller than 8 (counting the Ace as a 1) when selecting a card at random from a classic deck of cards, we need to determine the number of favorable outcomes and the total number of possible outcomes.

In this case, we are interested in the cards Ace, 2, 3, 4, 5, 6, and 7. These seven cards are considered smaller than 8.

1. Determine the number of favorable outcomes:
There are four sets of each number (Ace, 2, 3, 4, 5, 6, and 7) since there are four suits in a deck of cards. So, the number of favorable outcomes is 4 x 7 = 28.

2. Determine the total number of possible outcomes:
Since there are 52 cards in a classic deck, the total number of possible outcomes is 52.

3. Calculate the probability:
The probability is calculated as the ratio of favorable outcomes to total outcomes:
Probability = Favorable outcomes / Total outcomes.

In this case, the probability of selecting a card that is a number smaller than 8 is:
Probability = 28 / 52 = 7 / 13 ≈ 0.538 ≈ 53.8%.

Therefore, the probability of getting a number smaller than 8 (counting the Ace as a 1) when selecting a card at random from a classic deck of cards is approximately 53.8%.