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Standard XII

Mathematics

Independent Events

Two balls are...

Question

Two balls are drawn in succession from a box containing $4$ red, $3$ white and $5$ blue balls. FInd the probability of the event 'one ball is red and other ball is white' ?

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Solution

Total number of balls is $12$
Then 2 balls is selected from the 12 balls is $12 C_{2}$
Now selecting one ball is red and other ball is white is $\frac{4 C_{1} \times 3 C_{1}}{12 C_{2}} = \frac{12}{11}$

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Two balls are drawn in succession from a box containing 4 red, 3 white and 5 blue balls. FInd the probability of the event 'one ball is red and other ball is white' ?

Total number of balls is 12Then 2 balls is selected from the 12 balls is 12C2Now selecting one ball is red and other ball is white is 4C1×3C112C2=1211

Two balls are drawn in succession from a box containing $4$ red, $3$ white and $5$ blue balls. FInd the probability of the event 'one ball is red and other ball is white' ?

Total number of balls is $12$
Then 2 balls is selected from the 12 balls is $12 C_{2}$
Now selecting one ball is red and other ball is white is $\frac{4 C_{1} \times 3 C_{1}}{12 C_{2}} = \frac{12}{11}$