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Carefully assemble the box of marbles to the box of marbles to the box of human fecies

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13y ago

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Can a Pie graph represent a probability?

Depends on the data, but normally it can. Suppose you have a bag of marbles. There are 100. 5 are purple, 20 are blue, 25 are green, and 50 are red. That means when you make a pie chart 5% will be purple, 20% blue, 25% green, and 50% red. So you can tell from the chart the probility of picking out any color if you take one random marble from the bag. This is an example but the principle is true to many other things.


A bag contains 2 purple marbles and 6 green marbles - Two marbles are drawn at random - so What is the probability that the first marble drawn is green and the second one is purple?

There are 8 marbles in the bag, and 6 are green, so the chance that the first one you pick is green is 6/8 or .75. Let's call the event where you pick the green marble first, G, for green of course. Now since you picked a marble there are only 7 left. If you picked a green one then the chances of picking a purple one are now 2/7 since there are two purple marbles and seven total marbles. Let's call the event of picking the purple marble F, (I was going to use P but we need that letter for probability. Purple is a fine color so I picked F.) Now we use the conditional probability rule that tells us what is the chance of picking purple given that we already picked green. The symbol P(F|G) means probability of event F given that event G has already happened. P(F|G)= (the probability of picking green and purple)/ (probability of picking green.) We know these from above. G=6/8 and If we pick a green, probability of picking a purple is 2/7 so we multiply these to get probability of picking both and we have 6/8x2/7 or 12/56. So 12/56=(Probability of Picking green and purple)/( probability of picking green). We have 12/56=[P(G and F)]/(6/8) we want P(G and F) so we multiply 12/56x 6/8 and we have 72/448 So the answer is : 72/448 or about .16 (NOTE: this would be a totally different problem if we took out the first marble then put it back. It is important to be sure what is being asked. If you replaced the marble, the problem is much easier. It is simply 6/8 x 2/8 =12/64 or 3/16) Some people have trouble remembering or understanding the conditional probability rule. I will take just a second to explain it in the hopes it will make it easier to use and remember. The multiplication rule says if we have two mutually exclusive events, A and B, the probability of A and B is P(A)xP(B), so if we want event A to occur THEN event B, we have P(A)xP(B|A) which means probability of A multiplied by probability of B given A has already happened. This equal probability of A and B so we have: P(A)xP(B|A)=P(A and B) . Now divide by P(A) and we have: P(B|A)=P(A and B)/P(A). This is the way the rule is usually stated. Note: P(A|B)=P(A and B)/P(B).


What must you do before you make a hypothesis?

Make observations


How do you make a data table?

To make a data table you must make a chart with how ever many columns you are going to need and then fill out your information.


What does remodel mean?

Remodel means to make over, or do over, to make or do something again.