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Standard XII

Mathematics

Complement of an Event

Ten cards num...

Question

Ten cards numbered $1$ through $10$ are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn card is more than $3$ , what is the probability that it is an even number?

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Solution

Total numbers more than 3 $= 4, 5, 6, . . . . . ., 10 = 7$

Even numbers more than 3 $= 4, 6, 8, 10 = 4$

$\Rightarrow$ probability= $\frac{4}{7}$

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Ten cards numbered 1 through 10 are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn card is more than 3, what is the probability that it is an even number?

Total numbers more than 3=4,5,6,......,10=7Even numbers more than 3=4,6,8,10=4⇒ probability=47

Ten cards numbered $1$ through $10$ are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn card is more than $3$ , what is the probability that it is an even number?

Total numbers more than 3 $= 4, 5, 6, . . . . . ., 10 = 7$

Even numbers more than 3 $= 4, 6, 8, 10 = 4$

$\Rightarrow$ probability= $\frac{4}{7}$