A bag with 10 marbles has 2 yellow marbles, 4, №18011145, 26.03.2023 05:48

Mathematics

A bag with 10 marbles has 2 yellow marbles, 4 blue marbles, and 4 red marbles. What is the probabillity that it chosen at random and is yellow?

Step-by-step answer

P Answered by Specialist

1/5 = 0.2 = 20%

Step-by-step explanation:

Given:

Yellow marbles = 2Blue marbles = 4Red marbles = 4Total marbles = 10

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

$\implies \sf P(yellow) = \dfrac{2}{10}=\dfrac15$

This can also be written as 0.2 or 20%

Mathematics

1. if one letter is chosen at random from the word combed, what is the probability that the letter chosen will be a d ? 2. the sides of number cube have the numbers 2,4,8,9,4, and 7. if the cube is thrown once, what is the probability of rolling a 7? 3. a bag contains 12 red marbles, 10 green marbles, 2 yellow marbles, 19 blue marbles, and 9 purple marbles. what is the probability of pulling out a green marble?

Step-by-step answer

P Answered by PhD

1

Probability that the chosen letter is d is $\frac{1}{6}$ Probability of rolling a 7 is $\frac{1}{6}$ Probability of picking a green is $\frac{5}{21}$

Step-by-step explanation:

Probability of choosing d in the word "combed"

Given:

Alphabet: d

Word: combed

First, we note down the length of the word "combed";

The length is 6 characters

The we check the number of occurrence of d in the word "combed"

Occurrence of d = 1

Probability is then calculated as;

Probability of choosing d = $\frac{Number of Occurrence}{Total Observation}$

By Substitution; Probability = $\frac{1}{6}$

Probability of rolling a 7 in a cube of side numbers 2,4,8,9,4, and 7

Given:

Roll number = 7

Sample Space= {2,4,8,9,4, 7}

Sample Size, n(S) = 6

We check the number of occurrence of 7 in the sample space

Number of occurrence = 1

Probability is then calculated as;

Probability of rolling a 7 = $\frac{Number of Occurrence}{Sample Size}$

By Substitution; Probability = $\frac{1}{6}$

Probability of pulling out a green marble

Given

Red = 12

Green = 10

Yellow = 2

Blue = 19

Purple = 9

Total = 12 + 10 + 2 + 19 + 9 = 42

Probability of picking a green marble is then calculated as;

Probability of choosing d = $\frac{Number of Green}{Total}$

By Substitution; Probability = $\frac{10}{42}$

Probability = $\frac{5}{21}$

Mathematics

1. if one letter is chosen at random from the word combed, what is the probability that the letter chosen will be a d ? 2. the sides of number cube have the numbers 2,4,8,9,4, and 7. if the cube is thrown once, what is the probability of rolling a 7? 3. a bag contains 12 red marbles, 10 green marbles, 2 yellow marbles, 19 blue marbles, and 9 purple marbles. what is the probability of pulling out a green marble?

Step-by-step answer

P Answered by PhD

1

Probability that the chosen letter is d is $\frac{1}{6}$ Probability of rolling a 7 is $\frac{1}{6}$ Probability of picking a green is $\frac{5}{21}$

Step-by-step explanation:

Probability of choosing d in the word "combed"

Given:

Alphabet: d

Word: combed

First, we note down the length of the word "combed";

The length is 6 characters

The we check the number of occurrence of d in the word "combed"

Occurrence of d = 1

Probability is then calculated as;

Probability of choosing d = $\frac{Number of Occurrence}{Total Observation}$

By Substitution; Probability = $\frac{1}{6}$

Probability of rolling a 7 in a cube of side numbers 2,4,8,9,4, and 7

Given:

Roll number = 7

Sample Space= {2,4,8,9,4, 7}

Sample Size, n(S) = 6

We check the number of occurrence of 7 in the sample space

Number of occurrence = 1

Probability is then calculated as;

Probability of rolling a 7 = $\frac{Number of Occurrence}{Sample Size}$

By Substitution; Probability = $\frac{1}{6}$

Probability of pulling out a green marble

Given

Red = 12

Green = 10

Yellow = 2

Blue = 19

Purple = 9

Total = 12 + 10 + 2 + 19 + 9 = 42

Probability of picking a green marble is then calculated as;

Probability of choosing d = $\frac{Number of Green}{Total}$

By Substitution; Probability = $\frac{10}{42}$

Probability = $\frac{5}{21}$

Mathematics

There are 2 green marbles, 4 blue marbles, 1 red marble, and 8 yellow marbles in a bag. once a marble is drawn, it is not replaced. find the probability of the outcome. p(a blue marble then a green marble) answers are: 4/105 6/29 8/225 1/35

Step-by-step answer

P Answered by PhD

12

P(a blue marble then a green marble) is 4/105 ⇒ 1st answer

Step-by-step explanation:

* Lets explain how to solve the problem

- There are 2 green marbles

- There are 4 blue marbles

- There are 1 red marble

- There are 8 yellow marbles

- Once a marble is drawn, it is NOT replaced

- We need to find P(a blue marble then a green marble)

* At first lets find the total number of marbles by adding all color

∵ There are 2 green , 4 blue , 1 red and 8 yellow

∴ The total number of marbles = 2 + 4 + 1 + 8 = 15

∴ There are 15 marbles in the bag

∵ Probability = number of events/number of all outcomes

∵ There are 4 blue marbles

∴ The probability of chosen a blue marble is P(blue) = 4/15

∵ Once a marble is drawn, it is NOT replaced

∴ The total number of marbles = 15 - 1 = 14 marbles

∵ The number of green marbles is 2

∴ The probability of chosen a green marble is P(green) = 2/14

∵ P(a blue marble then a green marble) = P(blue) . P(green)

∵ P(blue) = 4/15

∵ P(green) = 2/14

∴ P(a blue marble then a green marble) = (4/15)(2/14) = 4/105

* P(a blue marble then a green marble) is 4/105

Mathematics

Marbles are being drawn without replacement from a bag containing 10 marbles. (a) how many samples of 4 marbles can be drawn? (b) how many samples of 3 marbles can be drawn? (c) if the bag contains 4 yellow, 3 white, and 3 blue marbles, how many samples of 2 marbles can be drawn in which all marbles are blue

Step-by-step answer

P Answered by Master

a. 210

b. 120

c. 3

Step-by-step explanation:

a) 4 marbles can be drawn in 10C_4 ways

= 210 ways.

b)3 samples of marbles can be drawn in 10C_3 ways

= 120 ways

c) 2 blue marbles out of 10 marbles in which only 3 are blue =

3C_2 = 3 ways

Mathematics

Afew probability questions. quickly : ) i have tried to do them but seem to be unable to figure these 2 out. 1). there are 2 red and 5 green balls in the bag. shirley randomly chooses balls one at a time, with replacement. what is the probability of choosing 2 green balls and one red ball? a 50/343 b 5/21 c 2/21 d 20/147 2). a bag contains 6 red marbles, 4 blue marbles, 7 green marbles, and 3 yellow marbles. a marble is drawn from the bag and not replaced. then a second marble is drawn. what is the probability that both marbles were red? a 3/40

Step-by-step answer

P Answered by Master

4

1)A:2/7*5/7*5/7=50/343 2)C:6/20*5/19=3/38 hope i helped!

Mathematics

A bag contains ten marbles of equal size and weight. One marble is blue, one marble is white, three are yellow, and five marbles are red. A marble is taken from the bag two times. Each time a marble is taken out, it is not replaced. What is the probability of picking a red marble and picking a red marble? A) 1/4 B) 2/9 C) 9/10 D) 7/45

Step-by-step answer

P Answered by Specialist

B) 2/9

Step-by-step explanation:

First, the probability of picking a red marble is 5/10, which is the same as 1/2. This is because there are 5 marbles in the bag that are red out of the 10 total marbles. Then, because we don't replace the marble, there are now 9 total marbles, with 1 blue, 1 white, 3 yellow, and 4 red. Now the probability of picking a red marble is 4/9.

Multiplying these two probabilities together gives you the probability of picking 2 red marbles in a row, which is 1/2 * 4/9 which is equal to 4/18, or 2/9 when simplified.

Mathematics

A bag contains ten marbles of equal size and weight. One marble is blue, one marble is white, three are yellow, and five marbles are red. A marble is taken from the bag two times. Each time a marble is taken out, it is not replaced. What is the probability of picking a red marble and picking a red marble? A) 1/4 B) 2/9 C) 9/10 D) 7/45

Step-by-step answer

P Answered by Specialist

B) 2/9

Step-by-step explanation:

First, the probability of picking a red marble is 5/10, which is the same as 1/2. This is because there are 5 marbles in the bag that are red out of the 10 total marbles. Then, because we don't replace the marble, there are now 9 total marbles, with 1 blue, 1 white, 3 yellow, and 4 red. Now the probability of picking a red marble is 4/9.

Multiplying these two probabilities together gives you the probability of picking 2 red marbles in a row, which is 1/2 * 4/9 which is equal to 4/18, or 2/9 when simplified.

Mathematics

A bag contains 10 marbles.4 are red 3 blue 2 white 1 yellow.a marble is drawn at random.what is the probability that is blue

Step-by-step answer

P Answered by PhD

3/10=30%

Step-by-step explanation:

So the total is 10, and there 3 blues. The probability is 3/10 which is equal to 30%. Hope this helps!

Mathematics

A bag contains 10 marbles.4 are red 3 blue 2 white 1 yellow.a marble is drawn at random.what is the probability that is blue

Step-by-step answer

P Answered by PhD

3/10=30%