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
Natalija [7]
3 years ago
14

What odds should a person give in favor of the following events? (a) A card chosen at random from a 52-card deck is an ace. (b)

Two heads will turn up when a coin is tossed twice. (c) Boxcars (two sixes) will turn up when two dice are rolled
Mathematics
1 answer:
Sindrei [870]3 years ago
6 0

Answer:

(a) 7.69%

(b) 25%

(c) 2.78%

Step-by-step explanation:

(a)

In a deck of 52 cards there are 4 aces.

The odds in favor or the probability of selecting an ace is:

P(Ace) = \frac{Number\ of\ aces}{Number\ of\ cards\ in\ total}\\ =\frac{4}{52}\\ =0.076923\\\approx7.69\%

Thus, the probability of selecting an ace from a random deck of 562 cards is 7.69%.

(b)

The outcomes of each toss of a coin is independent of the other, since the result of the previous toss does not affect the result of the current toss.

The probability that both the tosses will end up in heads is:

P(2\ Heads)=P(1^{st}\ Head)\times P(2^{nd}\ Head)\\=\frac{1}{2}\times \frac{1}{2}\\ =\frac{1}{4}\\ =0.25\ or\ 25\%\\

Thus, the probability that both the tosses will end up in heads is 25%.

(c)

The sample space of two dice consists of 36 outcomes in total.

Out of these 36 outcomes there is only 1 Boxcar, i.e. two sixes.

The probability of a boxcar when two dice are rolled is:

P(Boxcar)=\frac{Favorable\ outcomes}{Total\ no.\ of\ outcomes}\\= \frac{1}{36}\\ =0.027777\\\approx2.78\%

Thus, the probability of a boxcar when two dice are rolled is 2.78%.

You might be interested in
How do you solve 12x+4y=40?
sergejj [24]

Answer:

12x+4y=40

-4 -4

---------------

12x=36

--- ---

12 12

36÷12=3

6 0
3 years ago
A large construction company wants to review the ages of its sales representatives. A sampling of the ages of 25 sales reps are
Shalnov [3]

A histogram with frequency on the x-axis and ages on the y-axis is shown below. Then the correct option is A.

<h3>What is a histogram?</h3>

A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.

A large construction company wants to review the ages of its sales representatives.

A sampling of the ages of 25 sales reps are given:

50, 42, 32, 35, 41, 44, 24, 46, 31, 47, 36, 32, 30, 44, 22, 47, 31, 56, 28, 37, 49, 28, 42, 38, 45.

Then the histogram with frequency table is given as

 Range                Frequency

20 to 24                      2

25 to 29                      2

30 to 34                      5

35 to 39                      4

40 to 44                      5

45 to 49                      5

50 to 54                      1

55 to 59                      1

Then the correct option is A.

The histogram is given below.

More about the histogram link is given below.

brainly.com/question/16819077

#SPJ1

6 0
1 year ago
Find the value of x that will make A||B.<br> 5x + 9<br> A<br> B<br> 6x-2<br> X =<br> [?]<br> Enter
givi [52]

Answer:

x = 11

Step-by-step explanation:

Given

Parallel lines A and B

Required

Find x

For A and B to be parallel, then 5x + 9 and 6x - 2 are alternate interior angles

And alternate interior angles are always equal

This means that

5x + 9 = 6x - 2

Collect like terms

5x - 6x = -2 -9

-x = -11

Multiply both sides by -1

-1 * -x = -11 * -1

x = 11

4 0
3 years ago
Read 2 more answers
Explain why the overlapping powers caused conflict.
juin [17]

Answer:

what were the overlapping powers

Step-by-step explanation:

yahdnfnjsnsjdudn skzjdnsnsjiemfbcjsk

5 0
3 years ago
How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 95% confidence that
zimovet [89]

Answer:

61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.                

Step-by-step explanation:

Given : We want 95% confidence that the sample mean is within 3 minutes of the population mean, and the population standard deviation is known to be 12 minutes.

To find : How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters?

Solution :

At 95% confidence the z-value is z=1.96

The sample mean is within 3 minutes of the population mean i.e. margin of error is E=3 minutes

The population standard deviation is s=12 minutes

n is the number of sample

The formula of margin of error is given by,

E=\frac{s\times z}{\sqrt{n}}

Substitute the value in the formula,

3=\frac{12\times 1.96}{\sqrt{n}}

3=\frac{23.52}{\sqrt{n}}

\sqrt{n}=\frac{23.52}{3}

\sqrt{n}=7.84

Squaring both side,

n=61.4656

Therefore, 61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.

6 0
2 years ago
Read 2 more answers
Other questions:
  • A 2-column table with 6 rows. The first column is labeled miles driven with entries 27, 65, 83, 109, 142, 175. The second column
    13·2 answers
  • 4x- 3y= -19<br> 3x-2y=-12<br> linear systems<br> solve for y
    10·1 answer
  • Tiffany spent 3/5 of her money to buy begonias and 1/2 of the remaining money to buy peas. What part of her money did she spend
    8·1 answer
  • Suppose that this routine has an adjustable cutoff (threshold) mechanism by which you can alter the proportion of records classi
    11·1 answer
  • Please help !!! aspa
    11·1 answer
  • Write equation for (-6,5) and (-3,-3)
    13·1 answer
  • What is 732÷42 in rounding form?
    5·2 answers
  • What is 7/x-3/2=n-mx/px<br>​
    11·1 answer
  • Charlotte biked 4.8 × 104 meters. Mary biked 1.2 × 103 meters. How many times farther did Charlotte bike than Mary?
    6·2 answers
  • -2 - 1 + 4 I need the help please
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!