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}

\frac{4}{52}+\frac{4}{52}+\frac{4}{52}=\frac{12}{52}=\frac{3}{13}

Question

asked 2021-01-27

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?

asked 2020-12-30

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?

asked 2021-01-10

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

asked 2020-12-14

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

asked 2021-01-06

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.

(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.

asked 2021-03-11

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?

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?

asked 2020-11-03

Jenette picks from a deck of 52 playing cards. What is the probability that she will pick a king?

asked 2021-01-28

Three cards are selected from a deck of cards without replacement. What is the probability that you will get a king, a jack, and a queen?

asked 2020-11-10

For the following, write your list in increasing order, separated by commas.

a, List the first 10 multiples of 8.

b. LIst the first 10 multiples on 12.

c. Of the lists you produced in parts a. and b., list the multiples that 8 and 12 have in common.

d. From part c., what is the smallest multiple that 8 and 12 have in common.

a, List the first 10 multiples of 8.

b. LIst the first 10 multiples on 12.

c. Of the lists you produced in parts a. and b., list the multiples that 8 and 12 have in common.

d. From part c., what is the smallest multiple that 8 and 12 have in common.

asked 2021-03-02

What is the probability of drawing 2 cards in succession (without replacement) from a standard deck of playing cards and having them both be hearts?