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A box contains 14 large marbles and 10 small marbles. Each marble is either green or white 8 of the large marbles are green, and

netineya [11]

The probability that the marble is large or white is 0.5714.

<h3>What is probability?</h3>

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

Probability of an event is

P(A) = Number of favorable outcomes/ Total Number of outcomes

= n(A)/n(S)

where

P(A) is the probability of an event “A”

n(A) is the number of favorable outcomes

n(S) is the total number of events in the sample space.

We have,

Number of large marbles = 14

Number of small marbles = 10

Number of large green marbles = 8 which implies

Number of large white marbles = 14 - 8 = 6

Number of small white marbles = 4 which implies

Number of small green marbles = 10 - 4 = 6.

Now, let

Let X be the event of drawing large marble.

Let Y be the event of drawing small marble.

Let M be the event of drawing white marbles.

Let N be the event of drawing green marbles.

Since only one marble is drawn at a time ,

so P(X) = 14/24

P(Y) = 10/24

P(M) = 10/24

P(N) = 14/24

We have to find the probability that a marble is large or white i.e. P(X∪M).

P(X∪M) = P(X) + P(Y) - P(X∩M)

P(X∩M) = In 14 large marbles 6 are white marbles = 6/14.

P(X∪M) = P(X) + P(Y) - P(X∩M) = 14/24 + 10/24 - 6/14 = 0.5833+0.4167-0.4286 = 0.5714.

Therefore, the probability of drawing large or white marble is 0.5714.

To know more about probability, visit

brainly.com/question/19169117

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3 0

1 year ago

A storage box has a lenght of 4 feet and a width of 18 inches. The storage box is 1.5 feet tall what is the volume of the storag

mina [271]

It's 9. (I don't use inches in Canada but I made everything in inches so hopefully it helped)

4 0

3 years ago

Select the postulate about two planes. Postulate 1: A line contains at least two points. Postulate 1a: A plane contains at least

Sergio [31]

Thank you for posting your question here at brainly. The two postulate planes is the below:

1: A line contains at least two points. Postulate 1a: A plane contains at least three points not all onone line. Postulate 1b: Space contains at least four points not all on one plane. Postulate

5: If two planes intersect, then their intersection is a line.

8 0

3 years ago

Read 2 more answers

Frank owns an entire city block, which happens to be a perfectly square piece of land. One corner of the block is in the interse

Helen [10]

So originally, let's say the width of Frank's land was $x$ feet.

The area of his land was therefore $x \times x$ , or $x^2$ , as his land was square.

The width of his land then increased by 3 feet, and the height decreased by 3 feet.

So the new area of Frank's land is:

$(x+3)(x-3)\\=x^2+3x-3x-9\\=x^2-9$

So the new land is now 9 square feet smaller, so it is not a fair deal for Frank.

Hope this helps :)

5 0

3 years ago

Work out(4×10−3)+(3×10−2)Give your answer in standard form.<br><br><br>

givi [52]

Answer:

Standard Form is also known as Scientific Notation or Exponential Notation, is a ... Step 2 : ⇒ To convert standard form into number, multiply the coefficient with a ... To find the scientific notation count the number of places to the number from the ... are 3 places, therefore we write 45000 in standard notation as: 4.5 x 104.

Step-by-step explanation:

8 0

3 years ago