Expression best estimates Negative 18 and one-fourth divided by 2 and two-thirds?

A gumball machine contains three yellow, eight blue, and six pink gumballs. What is the probability that the next gumball that c

Roman55 [17]

Answer:

total balls in the Machine = 7+5+4 = 16

Step-by-step explanation:

METHOD-1

Probability of First ball to be Blue = 7/(7+5+4) = 7/16

Probability of Second ball to be Green = 5/(15) = 5/15 [15 balls remaining after one being taken out in Step 1]

Probability of Third ball to be red = 4/(14) = 4/14 [14 balls remaining after Two being taken out in Step 1&2]

But this can happen in any order so the orders in which it can happen = 3!

i.e. Final Probability that machine dispenses one gumball of each color = (7/16)*(5/15)*(4/14)*3! = 1/4

Answer: Option E

METHOD-2

The total ways in which three balls can be Picked out of a total of 16 balls (with orders) = 16*15*14 = 840

The ways in which three balls of different colors can be taken out (with orders) = 7*5*4*3! = 3360

Probability = Favourable Outcome / Total Outcomes

i.e Probability = 840 / 3360 = 1/4

Answer: Option E

METHOD-3

The total ways in which three balls can be Picked out of a total of 16 balls (without orders) = 16C3 = 560

The ways in which three balls of different colors can be taken out (with orders) = 7C1 * 5C1 *4C1 = 140

Probability = Favourable Outcome / Total Outcomes

i.e Probability = 140 / 560 = 1/4

Answer: Option E

7 0

3 years ago

2.15+2.5+3.85+. 5, What is the answer plz

lukranit [14]

2.15 + 2.5 = 2.65
2.65 + 3.85 = 6.40
If it is 0.5
6.40 + 0.5 = 0.9
If you meant 0.05
6.40 + 0.05 = 6.45
If you meant 5 (as in the whole number)
6.40 + 5 = 11.40

hope this helps

4 0

3 years ago

Read 2 more answers

What is 6.699 rounded to the nearest whole number

gregori [183]

The correct answer would be 7! Hope I helped!

3 0

3 years ago

Read 2 more answers

(x – 6)2 = y + 7, find the vertex.

Anna007 [38]

Would be the answer 16

3 0

3 years ago

Consider the following proposed proof by contradiction that for all positive integers n, 3n > 2.

laila [671]

Answer:

The proof contains a simple direct proof, wrapped inside the unnecessary logical packaging of a proof by contradiction framework.

Step-by-step explanation:

The proof is rigourous and well written, so we discard the second answer.

This is not a fake proof by contradiction: it does not have any logical fallacies (circular arguments) or additional assumptions, like, for example, the "proof" of "All the horses are the same color". It is factually correct, but it can be rewritten as a direct proof.

A meaningful proof by contradiction depends strongly on the assumption that the statement to prove is false. In this argument, we only this assumption once, thus it is innecessary. Other proofs by contradiction, like the proof of "The square root of 2 is irrational" or Euclid's proof of the infinitude of primes, develop a longer argument based on the new assumption, but this proof doesn't.

To rewrite this without the superfluous framework, erase the parts "Suppose that the statement is false" and "The fact that the statement is true contradicts the assumption that the statement is false. Thus, the assumption that the statement was false must have been false. Thus, the statement is true."

7 0

3 years ago