Random number generation based on rolling a die

Reference no: EM1318047

Often when playing gambling games or collecting items in cereal boxes, one wonders how long it will be before one achieved success. For example, suppose there are 6 different types of toys with 1 toy packaged at random in a cereal box. If a person wanted a certain toy, about how many boxes would that person have to buy on average before obtaining that particular toy? Of course, there is a possibility that the particular toy would be in the first box opened or that the person might never obtain the particular toy. These are the extremes.

a. To find out, simulate the experiment using dice. Start rolling dice until a particular number, say 3, is obtained, and keep track of how many rolls are necessary. Repeat 100 times. Then find the average.

b. You may decide to use another number, such as 10 different items, In this case, use 10 playing cards(ace through 10 of diamonds), select a particular card(say, an ace), shuffle the deck each time, deck the cards, and count how many cards are turned over before the ace is obtained. Repeat 100 times, and then find the average.

c. Summarize the findings for both experiments.

Reference no: EM1318047

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