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# beth has 10 marbles. 7 are black. the rest are white. what fraction of the marbles are white?

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### James

Guys, does anyone know the answer?

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## Fractions of a Whole and of a Set or Group

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## Fractions of a Whole and of a Set o...

Fractions of a Whole and of a Set o... 81%

9 1st Mathematics Timothy Capazzi 1 year

## 20 Qs

1. Multiple-choice 30 seconds

Q.

What fraction of the circle is red?

answer choices 1/4 2/4 3/4 4/4 2. Multiple-choice 30 seconds Q.

What fraction of the circle is NOT red?

answer choices 1/2 1/3 2/3 2/4 3. Multiple-choice 30 seconds

Q.

What fraction of the circle is green?

answer choices 1/4 2/4 2/3 2/3 4. Multiple-choice 30 seconds Q.

Which picture color shows 2/4?

answer choices green blue purple pink 5. Multiple-choice 30 seconds Q.

Is this shape divided equally?

answer choices yes no 6. Multiple-choice 30 seconds Q.

Is this shape divided equally?

answer choices yes no 7. Multiple-choice 2 minutes

Q.

What is the total number of fruit in this group?

answer choices 7 6 9 10 8. Multiple-choice 2 minutes

Q.

What fraction of the fruits are cherries?

answer choices 4/4 4/9 3/4 5/8 9. Multiple-choice 30 seconds Q.

What fraction of these are bumble bees?

answer choices 1/2 2/2 2/3 2/1 10. Multiple-choice 30 seconds Q.

If I was going to make a fraction of these birds, what would the denominator be?

answer choices 1 2 4 6 11. Multiple-choice 30 seconds Q.

What fraction of these birds are BROWN?

answer choices 1/6 2/6 4/6 6/6 12. Multiple-choice 30 seconds Q.

What fraction of these birds are NOT GREEN?

answer choices 1/6 2/6 4/6 5/6 13. Multiple-choice 30 seconds Q.

What fraction of these toys are cars?

answer choices 7/4 4/4 4/7 3/7 14. Multiple-choice 30 seconds Q.

What fraction of these flowers are pink?

answer choices 4/10 5/10 6/10 10/6 15. Multiple-choice 30 seconds Q.

What fraction of these flowers have one leaf on their stems?

answer choices 4/10 5/10 6/10 7/10 16. Multiple-choice 1 minute Q.

Anna ordered a pizza for her and three friends. She wanted to make sure each person got the same amount of pizza. How many pieces should she cut the pizza into?

answer choices 1 2 3 4 17. Multiple-choice 30 seconds Q.

There are 5 crayons. Two are broken. What fraction of the crayons are NOT broken?

answer choices 2/5 3/5 5/3 3/3 18. Multiple-choice 1 minute Q.

Beth has 10 marbles. 7 are black. The rest are white. What fraction of the marbles are white?

answer choices 7/10 10/3 3/7 3/10 19. Multiple-choice 1 minute Q.

There are 12 players on a basketball team. 7 are boys. What fraction of the basketball players are girls?

answer choices 5/12 7/12 5/7 12/5 20. Multiple-choice 1 minute Q.

Ken had 6 slices of pizza. He ate one slice. His friend ate one slice too. What fraction of the pizza was eaten?

answer choices 2/6 1/6 4/6 6/2

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### 10 Qs

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## A box contains 10 marbles, 7 are black and three are red. Three marbles are drawn one after the other without replacement. What is the probability of at least two black marbles?

Answer (1 of 3): At least 2 black means 2 black or 3 Black: * 2 B: BBR OR BRB OR RBB * * BBR: P_{BBR}=\frac{7\times 6 \times 3}{10\times 9\times 8}=\frac{63}{720} * BRB: P_{BBR}=\frac{7\times 3 \times 6}{10\times 9\times 8}=\frac{63}{720} * RBB: P_{BBR}=\frac{3\times 7 \times 6}{10\times 9...

A box contains 10 marbles, 7 are black and three are red. Three marbles are drawn one after the other without replacement. What is the probability of at least two black marbles?

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3 Answers Vassim Malak , I Love maths

At least 2 black means 2 black or 3 Black:

2 B: BBR OR BRB OR RBB

BBR: P BBR = 7×6×3 10×9×8 = 63 720

PBBR=7×6×310×9×8=63720

BRB: P BBR = 7×3×6 10×9×8 = 63 720

PBBR=7×3×610×9×8=63720

RBB: P BBR = 3×7×6 10×9×8 = 63 720

PBBR=3×7×610×9×8=63720

\implies P 2 = 3×63 720 = 189 720 P2=3×63720=189720 3 B: BBB BBR: P BBB = 7×6×5 10×9×8 = 210 720

PBBB=7×6×510×9×8=210720

Thus: P= P 2 + P 3 P=P2+P3 ⟹P= 189 720 + 210 720 ⟹P=189720+210720 ⟹P= 189+210 72 ⟹P=189+21072 ⟹P= 399 720 ⟹P=399720 ⟹P=0.554166 ⟹P=0.554166

A box contains ten marbles, seven of which are black and three are red. Three marbles are drawn one after the other without replacement. What is the probability of choosing A, at most two black marbles?

A box contains 10 marbles, 7 of which are black and 3 are red. Three marbles are drawn one after the other without replacement. Can you find the probability of choosing 1 red, 1 black and 1 red marble?

In a bag are three black marbles and three blue marbles. If two marbles are drawn from the bag at the same time, what is the probability that both marbles will be blue?

A bag contains 5 red marbles and 3 black marbles. Three marbles are drawn one by one without replacement. What is the probability that at least one of the three marbles drawn be black, if the first marble is red?

What is the probability of picking two marbles of different colors in a box that contains 2 white and 3 blue identical marbles If two marbles are picked at random, one after the other without replacement?

Rory Barrett

, M.Sc Mathematics, University of Auckland

The number of ways you could get two blacks is 7C2, so the number of ways you could get 2B,1 R is 7C2*3C1.

The number of ways you could get three blacks is 7C3.

So the number of ways you could get at least 2B is 7C2*3C1 + 7C3C.

The total number of ways is 10C3.

The probability of at least 2B is (7C2*3C1 + 7C3)/10C3 = 81.7%

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WT Warner Answered 1 year ago

784 out of 1000 would be at least 2 marbles

(At least figuring in my head — don’t know how to work it out by formula. )

, Master Electrical Engin. from University of Bologna (1952)

A box contains 40 good fuses and 10 defective fuses. If 10 fuses are selected, what is the probability that they are all good?

Probability of a good fuse: 40/(40+10)=40/50=4/5=0.8. Probability that 0<=m<=10 fuses are good: (10Cm)*(0.8^m)*[(1–0.8)*(10-m)]. For m=10, viz. probability that the 10 fuses selected are all good: 0,8^10=0.107374..=10.7374..%.

I wish to add that I happened to read Doctor Vandershel’s answer and after reflecting on the above question I realized that the procedure I followed is not correct in this case. From its wording it is a clear fact that the box contains 40 good fuses and 10 defective fuses. Therefore, if I assume that 41 fuses are selected, it is obvious that they may not be all good, and

, B.S Electrical Engineering (1984)

A box contains ten marbles, seven of which are black and three are red. Three marbles are drawn one after the other without replacement. What is the probability of choosing A, at most two black marbles?

Per hypergeometric distribution

P( at most 2 black marbles) = 1- P( three black marbles)

P( 3 black marbles ) = hypergeometric ( N = 10, K = 7, n =3 , k= 3)

P( 3 black marbles ) = ( 7 3) *(3 0) / ( 10 3) =

(3 0 ) = 1

(7 3) = 7*6*5*/6 = 7*5 = 35

(10 3) = 10*9*8/6 = 10*3*8/2 = 10*3*4 = 120

P( 3 black marbles ) = 35/120 = 7 / 24

P(at most 2 black marbles) = 1- 7/24 = 17/24

P(at most 2 black marbles) = 17/24

P(at most 2 black marbles) = approx. 0.708333

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