## Wednesday, October 18, 2006

### Page E-50 question #3 and Michelle and Meldee's Board Game

Question #3 Find each probability if you choose 1 marble at random.

PO (possible outcomes)
__

TPO (total possible outcomes)

10 is the total number of marbles(TPO).

P black marble is: 3(black marbles)/10
3 divided by 10=0.3 then multiplied by 100= 30%

P striped marble is: 6(striped marbles)/10 0r 3/5
6 divided by 10=0.6 then multiplied by 100=60%

P not black is: 7(marbles not black)/10
7 divided by 10=0.7 then multiplied by 100=70%

P not white is:9(marbles not white)/10
9 divided by 10=0.9 then multiplied by 100=90%

P black or white marble is:4(black or white marbles)/10 or 2/5
3 black+1 white=4
4 divided by 10=0.4 then multiplied by 100=40%

P yellow is: 0
In the 10 marbles there are no yellow ones .

To answer these questions you have to know the PO(possible outcomes) and the TPO(total possible outcomes). To get the percentage, divide the numerator by the denominator. Then multiply the answer by 100.

My question:In a gumball machine there were 26 blue, 14 red, 5 black and 9 purple.
What would be the probability that you would get a blue or purple gum ball?

Answer:P blue or purple is: 35(blue or purple gum balls)/54(gum balls)
35 divided by 54=0.648 then multiplied by 100=64.8

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ROLL the DICE!

To play this game, you need a partner, 2 six sided dice and 1 colored bear for each person.
Who ever reaches the end of the path first, wins the game.

How to play:
Each person takes turns rolling the dice. If the dice sum of the 2 dice equals 4, 10, 6 or 8, you move 3 spaces forward. If the sum of the dice equals 3, 9, 5 or 11, you move 3 spaces backward. If the sum equals 7, you move 4 spaces forward. If the sum of the dice equals either 2 or 12, you move 5 spaces forward. This is because the probability of rolling a 2 or 12 is the lowest.

P( 3,9,5 or 11) = 2+2+4+4/36 = 12/36 = 2/3=66.6%

P(4,10,6,or 8) = 3+3+5+5/36 = 16/36 = 4/9 = 44.4%

P(7) = 6/36 = 1/6 = 16.6

P(2 or 12) = 2/36 = 1/24 =4.1%

This game is fair because each person has the same amount of turns rolling the dice. It's also fair because if you roll a number with a low probability, you move forward. If you roll a number with a high probability, you move backwards. It's fun because there are 2 numbers(2 and 12) that can make you be ahead of the other person.

#### 1 comment:

Mr. H said...

Great detail. Try to add images. I will show you at school.

Great Job Keep it up. Part 2 is on the way.

Mr. H