Probability Project

Probability - 3
Originally uploaded by Misterteacher.

First, we played the game Rock, Paper, Scissors with three players. Every player scored differently, Player A scored if all the players showed the same thing, Player B scored if two of the players showed the same thing, and Player C scored if none of the players showed the same thing. Next, we had to find the theoretical probability which was that Player A won 3/27, Player B won 18/27, and Player C won 6/27 out of 27 games. Then, we found the results of our experiment which were Player A had 2/27 wins, Player B had 17/27 wins, and Player C had 9/27 wins out of 27 games. Next, we found the outcome that occured most was Player B. Then, we found the outcome that occured least was Player A. Next, we found that the experimental probability didn't match the theoretical probability. The differences were that the experimental were off by 1 or 2 numbers and the other was ahead by 1. Last, we found that this game was not fair because Player B has the most chances in winning, Player C has a chance in winning, and Player A has no chances. I think we could change the game by playing it the traditional way, but if two players have the same thing and they beat the other player, then the players face off the traditional way again.

Experimental Probabilities of Stick or Switch

letsmakeadeal
Originally uploaded by Misterteacher.

In the game stick or switch, you must choos between three doors. One door has a prize, the others have something you don't want. In the graph, it showed if you picked stick you won 38% of the time and lose 63% of the time and if you switch you won 61% of the time and lose 36% of the time. So, the best strategy is to switch.

Doubling Surface Area

If the length of each side is doubled, what I think will happen is that the original area, which is 15 sq. cm., will quadruple to be 60 sq. cm.

Sufficient Properties Extended Response

A square is a parallelogram because a square has four sides congruent and opposite sides congruent. A square is a rectangle because a square has four right angles, four sides congruent,and opposite sides congruent. A square is a rhombus because it has four sides, opposite sides congruent, and all sides are congruent.

Composite Shapes Extended Response

I think she needs the smaller bag. To, figure this out first, you divide her yard into different shapes: a parrallelogram, a square, and a triangle. Next, you find the area of the triangle which the formula is 50x 30 which equals 1,500 and then divide 1,500 by 2 which is 750. Then, you find the area of the square, the formula is 50x 50 which is 2,500. Next, you find the area of the parrallelogram, which the formula is 50x 30 which is 1,500. Finally, you add 750, 2,500, and 1,500 which the sum is 4,750 sq.ft. Therefore, she needs the smaller bag.

Simalar Triangles Extended Response

First,since Katie is 60 inches tall, convert that into 5ft. Next, you make the problem into a proportion which is 5/25=14/x. Then, you cross-multiply 25 and 14 and you get 350. So, you divide 350 by 5 and get 70ft. Therefore, the answer is 70ft.

Derived Measurements Extended Response

Mark's heart beats 16 times in 15 seconds. At that rate, how many times will it beat in one minute?


There are 60 seconds in 1 minute and 15 seconds is 1/4 of 60. So, since it takes 15 four times to go to 60, you multiply 16 and 4, and you get 64. Therefore, the answer is 64 beats per minute.