An experiment consists of selecting a card at random from a 52-card deck.
A black face card (i.e., a jack, queen, or king) is not drawn.
Although it is not stated, I assume you want the probability.
1 - 6/52 = ?
To find the probability of not drawing a black face card (jack, queen, or king) from a 52-card deck, we need to determine how many cards meet this condition and divide it by the total number of cards in the deck.
Step 1: Count the black face cards
There are 2 black jacks, 2 black queens, and 2 black kings. So, there are a total of 6 black face cards.
Step 2: Determine the total number of cards in the deck
A standard 52-card deck consists of 4 suits (clubs, diamonds, hearts, and spades) with 13 cards each (ace through 10, and then jack, queen, and king). Thus, there are a total of 52 cards.
Step 3: Calculate the probability
The probability of not drawing a black face card is the number of cards that do not meet the condition divided by the total number of cards. In this case, it is (52 - 6) / 52.
Step 4: Simplify the probability
Simplifying the expression gives us 46/52, which can be reduced to 23/26.
Therefore, the probability of not drawing a black face card from a 52-card deck is 23/26.