an integer from the range 00000 - 99999 is generated uniformly at random. we are interested only in even integers that start with 2 odd digits where all digits are unique. if we randomly generate 8 of these numbers in succession, what is the probability we get exactly 5 numbers that meet our criteria?

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01-12-2022
Mathematics

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an integer from the range 00000 - 99999 is generated uniformly at random. we are interested only in even integers that start with 2 odd digits where all digits are unique. if we randomly generate 8 of these numbers in succession, what is the probability we get exactly 5 numbers that meet our criteria?

Sagot :

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jcmacahia7 jcmacahia7 · Answer 1 · 2022-12-05T19:15:59-05:00

Randomly generating 8 of these numbers in succession, the probability we get exactly 5 numbers that meet our criteria is 0.13875.

Fundamental Principle of Counting, also called the counting rule, is the method to count how many ways multiple independent events can occur.

Thus, by Fundamental Principle of Counting, the number of possible even integers that start with 2 odd digits is 13875.

= (5 x 5 x 5) + (5 x 5 x 10 x 5) + (5 x 5 x 10 x 10 x 5)

= 125 + 1250 + 12500

= 13875

Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.

probability = desired outcome / total outcomes

probability = 13875/100000

probability = 0.13875

Learn more about probability here: brainly.com/question/6649771

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