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Selecting two marbles from a bag containing the numbers 2,4,6,8,10,12 (with replacement) what is the probability of selecting two numbers less than 10 ?

User Ugurerkan
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1 Answer

4 votes

Given:

A bag containing the numbers 2,4,6,8,10,12.

To find:

The probability of selecting two numbers less than 10.

Solution:

We have,

Total numbers = 6

Numbers less than 10 are 2,4,6,8.

Numbers less than 10 = 4

Probability of getting a number less than 10 is:


P(\text{Less than 10})=\frac{\text{Numbers less than 10}}{\text{Total numbers}}


P(\text{Less than 10})=(4)/(6)


P(\text{Less than 10})=(2)/(3)

We select the second number with replacement. So, the probability of second draw is same as the probability for first draw.

Probability of selecting two numbers less than 10 is:


\text{Required probability}=P(\text{Less than 10})* P(\text{Less than 10})


\text{Required probability}=(2)/(3)* (2)/(3)


\text{Required probability}=(4)/(9)

Therefore, the probability of selecting two numbers less than 10 is
(4)/(9).

User Qadir
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