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
77julia77 [94]
2 years ago
5

Six different colored dice are rolled. Of interest is the number of dice that show a one. In words, define the random variable X

. List the values that X may take on. Give the distribution of X. X ~ _____(_____,_____) On average, how many dice would you expect to show a one? Find the probability that all six dice show a one. Is it more likely that three or that four dice will show a one? Use numbers to justify your answer numerically.
Mathematics
1 answer:
olga nikolaevna [1]2 years ago
7 0

Answer:

Step-by-step explanation:

Six dice (each of a different color) are rolled. Since the number of times the 6 dice were rolled isn't stated, take it to be 1.

Hence, 6 dice are rolled at once for this experiment.

Of interest is the number of dice that show a "one". In other words, the variable in question (X) is:

The number of dots that show on the upward face of the rolled dice.

The values that X may take on are:

1  2  3  4  5  6

On average, how many dice would you expect to show a one?

One die.

How is this gotten? By finding the probability that a one or one dot appears when the 6 dice are rolled at once. Since there are 6 dice in number, and each die has the same 6 faces containing dots, the probability of getting a one is 1/6. In this case, one out of 6 dice is expected to show one dot.

Find the probability that all six dice show a dot in just one toss.

Logically, this probability is going to be very small! It is almost impossible for all 6 dice to land on the same face in just a single toss. In other words, expect many decimal places in the probability figure.

1/6 divided by 6  = 0.167/6  = 0.028 approximated to three decimal places.

This would also represent the probability that 2 dots, 3 dots, or any other number of dots appears on all dice in one toss!

Is it more likely (in this experiment) that 3 or 4 dice will show a one (a single dot)?

The answer is yes! It is more likely that 3 or 4 dice (instead of all 6) will show a one or will show the same number of dots.

Kudos!

You might be interested in
Solve for x what is -2x-4<10
tino4ka555 [31]

the answer is x is greater then -7

to find this add 4 to each side

then divide by -2.

since you divided both sides by a negative the symbol flips and you get x is greater then -7

7 0
3 years ago
Read 2 more answers
Can someone please help me like I really need help this problem has to have more than one step to be solved I really need help a
kumpel [21]

Answer:

85°

Step-by-step explanation:

Please follow along with these directions on the attached picture so that this makes sense.  I have labeled the picture with the variables I used and the angles I figured out.

Let's start in the top left corner. Remember: triangles always have 180°, and straight lines always have 180°.

180-115 = 65

65+85+x = 180, so x = 30

30+90+y = 180, so y = 60

180-155 = 25

25+60+z = 180, so z = 95

180-95 = 85°

8 0
2 years ago
At a carnival game, you randomly throw two darts at the board and break two balloons. What is the probability that both the ball
Amanda [17]
4/15 of the balloons are purple. You have two darts. There are 105 combinations of hitting two balloons out of the 15. There are 6 combinations of purple balloons to be hit. This (Purple combinations over total combinations) is your probability. 6/105 simplified to 2/35 or 2:35
So your chance of picking the purple balloons, both purple, out is 2 in 35 or 2/35
Brainliest?
6 0
3 years ago
A merchant bought 300 apples at the rate of 5 for RS.90 and sold 120 of them at Rs.300 per dozen. If he wants to make a profit o
dangina [55]

Answer:

I think he should continue with the same rate of Rs300 per dozen to gain profit of Rs2100

At the rate of Rs 90 pre 5 apples he have to pay Rs 5400 for 300(25 dozen) apples.

total he have 25 dozen of apples.if he sold 12 dozen of appels at 300 per dozen then he earns Rs 3600. according to the merchant goal he wanted to make profit of 2100.we will add rs 2100 to CP hence we will get SP of Rs 5400+2100=7500. if he had already sell 12 dozens at rs 3600 then we will reduce the amount from SP hence we will get Rs 3900 to be earn. 13 dozens of apple is left so we can divide 3900/13 and we will get Rs 300.

if he continues selling those remaining 13 dozens of apple at the same rate the he can make profit of rs 2100.

6 0
2 years ago
Whats one third of 39,900
o-na [289]
1/3 of 39,900 equals 1/3*39900

(1/3)*(39900/1)= 39900/3

39900/3= 13300

Final answer: 13,300
6 0
3 years ago
Other questions:
  • The current temperature in Smalltown is 20°F. This is 6 degrease less than twice the temperature that it was six hours ago. What
    12·1 answer
  • 7+2=2+7 how do you do this and show your work
    6·1 answer
  • What property describes the number sentence? 6+0=6<br> I do t understand
    6·1 answer
  • Which statements are true about the ordered pair (1,2) and the system of equations? y=-2x+4 7x-2y=3 select all that apply. A.Whe
    8·1 answer
  • John Calipari, head basketball coach for the national champion University of Kentucky Wildcats, is the highest paid coach in col
    8·1 answer
  • A velocity-time graph shows how<br> changes over<br> time.
    14·2 answers
  • What is 136 percent turned into a fraction
    11·2 answers
  • How to multiply fractions by decimals
    11·1 answer
  • Pls solve the right way then I’ll give you 15pts
    9·1 answer
  • Luis, using appropriate safety precautions, fires a .22 caliber gun directly into the sky above him. The bullet travels at a spe
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!