# What is the probability that a card selected at random from a standard deck of 52 cards is a number 5 or 6 or 10? Question
Discrete math What is the probability that a card selected at random from a standard deck of 52 cards is a number 5 or 6 or 10? 2020-10-21
In a standard deck of 52 cards, there are four 5’s, four 6’s, and four 10’s. By Addition Rule, the probability is:
\frac{4}{52}+\frac{4}{52}+\frac{4}{52}=\frac{12}{52}=\frac{3}{13}

### Relevant Questions A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a 5? A 5-card hand is dealt from a perfectly shuffled deck. Define the events: A: the hand is a four of a kind (all four cards of one rank plus a 5th card). B: at least one of the cards in the hand is an ace Are the events A and B independent? A card is drawn randomly from a standard deck of 52 cards. Find the probability of the given event. any number between 4 and 7 inclusive A card is drawn from a​ well-shuffled deck of 52 cards. Find the probability that the card is a black card or a 10 Select the best answer. Which of the following random variables is geometric?
(a) The number of times I have to roll a die to get two 6s.
(b) The number of cards I deal from a well-shuffled deck of 52 cards until I get a heart.
(c) The number of digits I read in a randomly selected row of the random digits table until I find a 7.
(d) The number of 7s in a row of 40 random digits.
(e) The number of 6s I get if I roll a die 10 times. The following problem is solved by using factors and multiples and features the strategies of guessing and checking and making an organized list.
Problem
A factory uses machines to sort cards into piles. On one occasion a machine operator obtained the following curious result.
When a box of cards was sorted into 7 equal groups, there were 6 cards left over, when the box of cards was sorted into 5 equal groups, there were 4 left over, and when it was sorted into 3 equal groups, there were 2 left.
If the machine cannot sort more than 200 cards at a time, how many cards were in the box? Jenette picks from a deck of 52 playing cards. What is the probability that she will pick a king?   