A bowl contains 25 balls numbered 1 to 25. A ball is drawn and its number is noted. Without replacing the first ball, another ball is drawn. The probability that the numbers on both balls are odd numbers is ?

A latter education question and answer requested students to say what they ponder is the most important thing for a student to do in order to obtain success. The one which response stood out from the rest was practice. Successful persons definitely not born successful; they become successful by hard work and dedication. This is how you can fulfill your goals. followed below are one of the answer and question example that you would probably benefit from to practice and further enhance your knowledge and also give you insights that would guide you to preserve your study in school.

Question:

A bowl contains 25 balls numbered 1 to 25. A ball is drawn and its number is noted. Without replacing the first ball, another ball is drawn. The probability that the numbers on both balls are odd numbers is ?

Answer:

Using the hypergeometric distribution, it is found that there is a 0.26 = 26% probability that the numbers on both balls are odd numbers.

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The balls are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

In which:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

Combinations formula:

is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this question:

  • 25 balls means that
  • From 1 to 25, there are 13 odd numbers, thus
  • 2 balls are chosen, which means that
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The probability that the numbers on both balls are odd numbers is ?

This is P(X = 2). Thus

0.26 = 26% probability that the numbers on both balls are odd numbers.

From the answer and question examples above, hopefully, they are able to help the student resolve the question they had been looking for and remember of every single thing stated in the answer above. Then will possibly have some sharing in a group discussion and also learning with the classmate in relation to the topic, so another student also gain some enlightenment and still keeps up the school learning.

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