#### 2. While this problem is quite easily to solve algebraically, or just by considering all possible combinations of 2 dice (only 36). If you want to do it by numerical simulation you can. To roll two dice I would generate a 2*n matrix with randi. e.g. randi (6, 2, n). Then sum over the two dice to get the score for each dice and **find** **the** number. It's not hard to write down the expected number of rolls for a single **die**. You need one roll to see the first face. After that, the **probability** **of** rolling a different number is 5/6. Therefore, on average, you expect the second face after 6/5 rolls. After that value appears, the **probability** **of** rolling a new face is 4/6, and therefore you expect. (c) **Determine** the experimental **probability** of **rolling** a 1 after 10 **rolls**. Write this **probability** as a fraction, a decimal, and a percent. (d) **Roll** the **die** another 40 times to make 50 **rolls** in total. Record the results of each **roll**. (e) Create a frequency distribution table and graph of the results of all 50 **rolls**. (f) **Determine** the experimental.

**die**

**once**Ex1. A

**die**is

**rolled**,

**find**

**the**

**probability**that an even number is obtained. Solution: Let us first write the sample space S of the experiment. S={1,2,3,4,5,6}→n(S)=6 Let E be the event "an even number is obtained" and write it down. E={2,4,6}→n(E)=3 We now use the formula of the classical

**probability**. P(E)=n(E)/n(S)=3/6=½ Ex2. After the table is prepared, start

**rolling**the

**dice**. Make sure to keep track of every

**roll**and not to mix up the numbers.. Remember that the usual

**probability**

**of getting**a 6 in a given

**roll**(i.e., 1/6) is equal to

**the probability**

**of getting**a 6 within the sets [1], [2], [3], and [4] combined..

**Algebra -> Customizable Word Problem**Solvers -> Geometry-> SOLUTION: A die is rolled once.Find the probability of obtaining a. a 5 b. a 6 c. an odd number Log On Ad: Over 600 Algebra Word Problems at edhelper.com.