# statistics

posted by .

The red face cards and the black cards numbered 2-9 are put into a bag. Four cards are drawn at random without replacement. Find the following probabilities:
a) All 4 cards are red
b) 2 cards are red and two cards are black
c) At least one of the red cards is red.
d) All four cards are black

• statistics -

a) There are 16 red-faced cards and 16 black.
First Card red = 16/32
Second card red = 15/31
Third Card red = 14/30
Fourth card red = 13/29
The probability of all occurring is found by multiplying the individual probabilities.

b) 16/32, 15/31, 16/30, 15/29 Again multiply.

c) Firgure probability of one red card, two red cards, three red cards, or four red cards. Remember the probability of the remaning cards being black in each case, except the last. Since you are interested in "either-or", add those four probabilities.

d) Same as a.

• statistics -

There are 6 red cards not 16 ( only face cards: 2 kings 2 queens and 2 jacks) and 16 black. 22 in total.
a) (6/22)*(5/21)*(4/20)*(3/19)
b) (16/22)*(15/21)*(6/20)*(5/19)
c) 1-((16/22)*(15/21)*(14/20)*(13/19))
d)(16/22)*(15/21)*(14/20)*(13/19))

• statistics -

CARDS:red=6; black=16 ... total 22

a.(6 nCr 4)/(22 nCr 4) = .002
b.(6 nCr 2)(16 nCr 2)/(22 nCr 4)= .246
c.1-(.249) = .751 ... get d first
d.(16 nCr 22)/(22 nCr 4) = .249

## Similar Questions

1. ### probability and statistics

a set of 10 cards consists of 5 red cards and 5 black cards. the cards are shuffled thoroughly and i choose one at random, observe its color, and replace it in the set. the cards are thouruoghly reshuffled and i again choose a card …
2. ### statistics

Three cards are drawn from a deck without replacement. Find these probabilities. a)all are jacks b)all are clubs c)all are red cards
3. ### MATH

From a standard deck of cards, two cards are randomly drawn, one after the other without replacement. The color of each car is noted. Which is less likely to occur: two red cards or a red card and a black card?
4. ### Maths

Five red cards numbered 1,2,3,4,5 and two black cards both numbered 5 are randomly ordered face-down into a pile. The cards are flipped over one at a time until either the sum of the numbers on the red cards is at least 10, or the …
5. ### Math

Five red cards numbered 1,2,3,4,5 and two black cards both numbered 5 are randomly ordered face-down into a pile. The cards are flipped over one at a time until either the sum of the numbers on the red cards is at least 10, or the …
6. ### Math

Need help on how to solve this problem.. Five cards are chosen from a deck of playing cards and put into a pile. Three of the cards are red and 2 of the cards are black. A second pile is made using 2 red cards and b black cards. One …
7. ### math

jake has 6 cards. 4 of his cards are red and 2 cards are blue. Alicia also has 6 cards. half of her cards are red. who has more red cards.
8. ### Math

Brent counted 10 red cards, 10 black cards, and 20 blue cards in a deck of cards. What is the ratio of red cards to the other cards?
9. ### Cards

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 …
10. ### Math Help

If 4 cards are drawn randomly from the standard deck of 52 cards, what is the probability that all 4 cards are red cards?

More Similar Questions