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Oxana [17]
3 years ago
9

What is the probability of being dealt exactly three of a kind (like three kings or three 7’s, etc.) in a five card hand from a

deck of 52 cards?
Mathematics
1 answer:
Drupady [299]3 years ago
6 0

Answer:

P=0.00564

Step-by-step explanation:

From Exercise we have  52 cards.

We calculate the number of combinations to draw 5 cards from a deck of 52 cards. We get

{52}_C_{5}=\frac{52!}{5!(52-5)!}=2598960

We now count the number of favorable combinations:

{13}_C_{1} · {48}_C_{2}= 13 · \frac{48!}{2!(48-2)!}=14664

Therefore, the probabilitiy is

14664/2598960=0.00564

P=0.00564

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The radius of a cylindrical water tank is 5.5 ft, and its height is 13 ft. What is the volume of the tank?
mezya [45]

Answer:

1235 ft³

Step-by-step explanation:

Volume of a Cylinder: 2πr²*h

π = 3.14

r = 5.5 ft

h = 13 ft

Volume = 2(3.14)(5.5)²*13 = 1235.43 ft³

Rounded to nearest whole number

Volume of the Cylindrical Water tank is 1235 ft³

7 0
4 years ago
Terry wants to divide his 120 baseball cards into two groups, so that the ratio of the number of cards in the first group to the
Naddik [55]
Let the number of cards in each group be 2x and 3x.
So,
2x + 3x = 120
5x = 120
x = 120 / 5
x = 24
Number of cards in each group is
2x = 2 × 24 = 48
3x = 3 × 24 = 72
7 0
3 years ago
Cheryl purchased a pool for $8,960 using a six-month deferred payment plan with an interest rate of 27.35%. She did not make any
kotykmax [81]
First find the amount at the end of the deferment period using the formula of the future value of a compound interest
A=8,960×(1+0.2735÷12)^(6)
A=10,257.25

Use the amount we found as the present value to find the monthly payment by using the formula of the present value of an annuity ordinary to get
PMT=10,257.25÷((1−(1+0.2735
÷12)^(−12×6))÷(0.2735÷12))
=291.27 ....Answer
4 0
3 years ago
The dogs in an animal parade are grouped by size. There are 18 small dogs, 12 medium-sized dogs, and 10 large dogs. If one dog i
ruslelena [56]

Answer:

0.3

Step-by-step explanation:

Given:

Number of small dogs = 18

Number of medium-sized dogs = 12

Number of large dogs = 10

To find: probability that a medium-sized dog will be chosen

Solution:

Probability refers to chances of occurrence of some event.

Probability = number of favourable outcomes/total number of outcomes

Total number of dogs = 18 + 12 + 10 = 40

Number of medium-sized dogs = 12

So,

probability that a medium-sized dog will be chosen = Number of medium-sized dogs/Total number of dogs = \frac{12}{40}=0.3

3 0
3 years ago
In a group of eighteen people, each person shakes hands once with each other person in the group. How many handshakes will occur
miv72 [106K]

The number of handshakes that will occur in a group of eighteen people if each person shakes hands once with each other person in the group is 153 handshakes

In order to determine the number of handshakes that will occur among 18 people, that is, the number of ways we can choose 2 persons from 18 people.

∴ The number of handshakes = ^{18}C_{2}

^{18}C_{2} = \frac{18!}{(18-2)!2!}

^{18}C_{2} = \frac{18!}{16!2!}

^{18}C_{2} = \frac{18\times17\times16!}{16!\times2!}

^{18}C_{2} = \frac{18\times17}{2\times1}

^{18}C_{2} = \frac{306}{2}

^{18}C_{2} = 153

∴ The number of handshakes = 153 handshakes

Hence. 153 handshakes will occur in a group of eighteen people if each person shakes hands once with each other person in the group.

Learn more here: brainly.com/question/1991469

5 0
2 years ago
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