1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
riadik2000 [5.3K]
3 years ago
11

In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls ( 1 through 45) and matching the n

umber on the gold ballc( 1 through 34). If one ticket is purchased, what is the probability of winning the jackpot?
Mathematics
2 answers:
Serggg [28]3 years ago
4 0

Answer:

1 in  41,539,806.

Step-by-step explanation:

The number of ways to pick 5 numbers from 45 = 45C5

= (45*44*43*42*41) / (5*4*3*2*1)

= 1,221,759.

There are 34 ways to pick a gold ball so total number of ways to get  6 matching numbers is

1221759*34

= 41,539,806.

Lilit [14]3 years ago
4 0

Answer: \dfrac{1}{41539806}

Step-by-step explanation:

Given : Total white balls = 45

Number of correct balls needed to win = 5

Using combination ,

The total combination of getting 5 balls selected from 45 balls = ^{45}C_5=

Total gold balls = 34

Similar;y , Number of ways to select 1 ball out of 34 = ^{34}C_1

Total number of ways of selecting 5 white balls and 1 gold balls = ^{45}C_5\times^{34}C_1

Using combination formula ^nC_m=\dfrac{n!}{m!(n-m)!}

=\dfrac{45\times44\times43\times42\times41\times40!}{120\times40!}\times\dfrac{34!}{1!(34-1)!}\\\\=1221759\times34=41539806

i.e. Total number of possible ways of selecting 5 white balls and 1 gold balls =41539806

But there is only one combination for wining the jackpot.

So the probability of winning the jackpot= \dfrac{\text{Favorable}}{\text{Total}}=\dfrac{1}{41539806}

Hence, the required probability = \dfrac{1}{41539806}

You might be interested in
Mr. Simpson feeds his dog
Liono4ka [1.6K]

Answer:

The total of 4 cups lasts 8 days  to Mr. Simpson.

Step-by-step explanation:

The 1/2 cups of food lasts 1 day

⇒ 1 cup of food lasts = (\frac{1}{\frac{1}{2} })   = 2 days.

Now, Mr. Simpson has 4 cups.

So, 4 cups last him = 4 x 2 days   =  8 days

Hence, a total of 4 cups lasts 8 days to Mr. Simpson.

7 0
3 years ago
A linear function has a slope of 7, and when x is 3, the value for y is 22. Use a graph or a table to figure out the equation of
Alex787 [66]
When you are given a point (x1,y1) and slope m the equation is
y-y1=m(x-x1)

given
slope=7
(x,y)
(3,22)
x1=3
y1=22


y-22=7(x-3) is the equation or
y=7x+1
8 0
3 years ago
Read 2 more answers
(07.05 LC) What is the value of x in the equation −x = 2 − 3x + 6? (5 points) A. 8 B.4 C. −4 D. −8
Paraphin [41]

Answer: B (x = 4)

- x = 2 - 3x + 6  combine like terms

- x = -3x + 8      add 3x

2x = 8               divide by 2

x = 4

5 0
3 years ago
The graph below shows the speed of a car that is driven through a town and then on a major highway. During which of the followin
Varvara68 [4.7K]

Considering the graph of the velocity of the car, it is found that the interval in which it was stopped at a traffic light was:

Between 3 and 4 minutes.

<h3>When is a car stopped at a traffic light?</h3>

When a car is stopped at a traffic light, the car is not moving, that is, it's velocity is of zero.

In this problem, the graph gives the <u>velocity as a function of time</u>, and it is at zero between 3 and 4 minutes, hence the interval in which it was stopped at a traffic light was:

Between 3 and 4 minutes.

More can be learned about the interpretation of the graph of a function at brainly.com/question/3939432

#SPJ1

4 0
2 years ago
Using a calculator or otherwise, calculate the exact value of 498.79×14.38. Round your answer to one (1) decimal place.
GuDViN [60]

Answer:

7172.6

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • (3k - 6)(5k² + 7k - 4) *
    11·1 answer
  • My sandbox is a square each side is 6 feet long what is the area of the sandbox
    12·1 answer
  • Please help
    9·1 answer
  • Math problem I need help on
    9·1 answer
  • How many siginifcant figures are in the number 27.3004 6, 3, 5, 4
    5·2 answers
  • PLEASE HELP ME THANK YOU
    14·1 answer
  • I got 40% off when I purchased a set of golf balls regularly priced at $20. How<br> much did I save?
    6·1 answer
  • Helppppppppppppppppppppp
    10·2 answers
  • (0,8)<br> (-2,0). What is the equation of the linear graph shown?
    5·1 answer
  • Given: f(x) = x - 7 and h(x) = 2x + 3<br> Write the rule for f(h(x)).
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!