Question

A card is drawn from a standard deck of cards. Find the​ probability, given that the card is a non dash face card.
​P(ten​)

Answer 1

To find the probability of drawing a ten given that the card is a non-face card, we need to calculate the total number of non-face cards and the total number of tens in a standard deck of cards.

There are 52 cards in a standard deck:

- 12 face cards (3 each of J, Q, K)
- 4 tens

Therefore, the total number of face cards is 12 and the total number of tens is 4.

Since we are given that the card is a non-face card, we can subtract the face cards from the total number of cards to get the total number of non-face cards:

52 total cards - 12 face cards = 40 non-face cards

Out of the 40 non-face cards, there are 4 tens.

So, the probability of drawing a ten, given that the card is a non-face card, is:

P(ten) = Number of favorable outcomes / Total number of possible outcomes
P(ten) = 4 tens / 40 non-face cards
P(ten) = 1/10

Therefore, the probability of drawing a ten, given that the card is a non-face card, is 1/10 or 0.1.