If this is a homework assignment, please consider trying to answer it yourself first, otherwise the value of the reinforcement of the lesson offered by the assignment will be lost on you.
If a number cube (die) contains the numbers 1, 2, 3, 4, 5, and 6, and the cube is fair, then the probability of rolling a 6 is 1 in 6. If you roll the cube 10 times, you would expect to get 6's 10 / 6, or about 2 times. However, 10 trials is not a lot of trials, so the experimental outcome might not match the theoretical probability. In this case, the experimental probability matched the theoretical probability, but that is simply chance. If you repeat the experiment, so you will probably not get the same results.
Well, if you rolled a number cube 50 times and got a 2, let's do some quick math. The experimental probability would be the number of times you rolled a 2 divided by the total number of rolls, which in this case is 50. So, if you got a 2, say, 10 times, the experimental probability would be 10/50, which simplifies to 1/5 or 20%. Hope that clears things up for you!
15
4/6
The probability of rolling a number less than 6 on a die would be 5/6.
The probability is 21/36 = 7/12
Well, if you rolled a number cube 50 times and got a 2, let's do some quick math. The experimental probability would be the number of times you rolled a 2 divided by the total number of rolls, which in this case is 50. So, if you got a 2, say, 10 times, the experimental probability would be 10/50, which simplifies to 1/5 or 20%. Hope that clears things up for you!
The first roll doesn't matter for probability, it just sets the number to be rolled by the other two. So: P(rolling the same number three times) = P(rolling a particular number)2 = (1/6)2 = 1/36
1/6
1 out of 2
15
Because 3/6 of the sides on a number cube have even numbers, the probability of rolling even on one number cube is 1/2(equivalent of 3/6). But since you're rolling twice, you multiply the probability of one by itself (therefore rolling 2 number cubes). So: 1/2x1/2=1/4 The probability of rolling an even number when a number cube is rolled twice is 1/4, 25%, or 1 out of 4.
fondant that is rolled
4/6
The process of rolling metals into sheets is called (no surprise) rolling. The metal is passed through a rolling mill and is reduced in size in steps. The metal might be hot rolled or cold rolled, and the choice of process depends on the metal and on what the finished product needs to be like. In the case of aluminum foil, a block of aluminum is first hot rolled, and the metal is passed through the rolling mill a number of times until it is thin enough to be rolled and moved to a cold rolling mill. In the cold rolling mill, it goes through a number of roller sets until the desired thickness is achieved.
The probability of rolling a number less than 6 on a die would be 5/6.
The probability is 21/36 = 7/12
When a number cube is rolled twice, there are 36 possible outcomes. (1,1),(1,2),....(6,6). (3,3) occurs only once. Therefore, the probability of rolling a 3 both times is 1/36.