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
Kitty [74]
3 years ago
13

A carnival game allows a group of players to each draw and keep a marble from a bag. The bag contains 5 gold marbles, 25 silver

marbles, and 70 red marbles.
A player wins a large prize for drawing a gold marble and a small prize for drawing a silver marble. There is no prize for drawing a red marble.

At the start of the game, the probability of winning a large prize is 0.05 and the probability of winning a small prize is 0.25.

1. Suppose that the first player draws a silver marble and wins a small prize. What is the probability that the second player will also win a small prize?

2. If a group of four plays the game one at a time and everyone wins a small prize, which player had the greatest probability of winning a large prize?

3. How could the game be made fair for each player? That is, how could you change the game so that each player has an equal chance of winning a prize?
Mathematics
1 answer:
Oliga [24]3 years ago
4 0
<span>5 gold marbles,
25 silver marbles, and
70 red marbles.
------------------------------

100 total marbles

large prize: drawing a gold marble
small prize: drawing a silver marble.

At the start of the game,

probability of winning a large prize = positive outcoumes / total possible outcomes = 5 gold marbles / 100 total marbles =  0.05

probability of winning a small prize = positive outcomes / total possible outcomes = 25 silver marbles / 100 total marbles = 0.25.

1. Suppose that the first player draws a silver marble and wins a small prize. What is the probability that the second player will also win a small prize?

Answer:

numer of silver marbles / number of total marbles = (25 -1 ) / (100 - 1) = 24 / 99 ≈ 0.24

2. If a group of four plays the game one at a time and everyone wins a small prize, which player had the greatest probability of winning a large prize?

Answer:

First player: 0.25

Second player: 5 gold marbles / ( 100 - 1) total marbles = 5 /99 ≈ 0.0505

Third player: 5 gold marbles / (99 - 1) total marbles = 5 / 98 ≈ 0.051

Fourth player: 5 gold marbles / ( 98 - 1) total marbles = 5 / 97 ≈ 0.0515

So, the probability of winning a big prize increases as more balls different of gold marbles are extracted from the bag, and so, in this case, the fourth player has a greater chance to win a large prize.

3. How could the game be made fair for each player? That is, how could you change the game so that each player has an equal chance of winning a prize?

Answer: All the players would have equal chance of winning a prize if the balls were replaced in the bag after each play.
</span>
You might be interested in
For the 50 students in an art contest, there will be 1 prize for first-place, 1 prize for second-
Liono4ka [1.6K]

Answer:

0.1

Step-by-step explanation:

1+1+3=5

5/50=1/10=0.1

Please mark as Brainliest! :)

Have a nice day.

8 0
3 years ago
Read 2 more answers
Someone please help me
Karolina [17]
Answer: 64f^24

Steps:
(2f^4)^6
=2f^4 * 2f^4 * 2f^4 * 2f^4 * 2f^4 * 2f^4
=64f^24
Where ^4 means to the power of 4 and so on
5 0
3 years ago
Evaluate the expression 8(2+1)^-4^
Marysya12 [62]
8(2+1)^4
8(3)^4
8(81)
648


5 0
2 years ago
Read 2 more answers
What does x represent in y = mx + b ?
FinnZ [79.3K]

Answer:

In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Help
Nimfa-mama [501]

Answer:

\frac{7}{4.1}

Step-by-step explanation:

the word ''to'' means over

3 0
2 years ago
Read 2 more answers
Other questions:
  • A realtor's commission is directly proportional to the selling price of a house. Mr. Wiley earned a commission of $9,200 on a ho
    7·1 answer
  • Y=4/3x-3 4x-6y=10 system of equations using substitution
    12·1 answer
  • You drop a rock off a bridge. The rock’s height, h (in feet above the water), after t seconds is modeled by h = -16t2 + 541. Wha
    13·1 answer
  • Evaluate 6 P 3. 720 240 540 120
    7·1 answer
  • WILL MARK BRAINLIEST IF RIGHT Find the average value of f(x)=e2x over the interval [2, 4].
    8·1 answer
  • Write the phrase as an expression. The quotient of 40 and the difference of a number y and 16.
    8·1 answer
  • The population of leave town is 1-23,560 and is decreasing at a rate of 1.5%
    15·2 answers
  • Si f(x)=2x-6 , entonces f(3)=?
    15·2 answers
  • A fast food store had two size fries
    6·1 answer
  • Given the equation y = 4 + 2x find the values for y given the value x
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!