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Q.

Cards marked with the numbers 1 to 50 are placed in the box and mixed thoroughly. One card is drawn from this box. Find the probability that the number on the card is a number, which is a perfect cube.

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a

0.06

b

0.02

c

0.03

d

0

answer is A.

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Detailed Solution

Given-
Cards marked with the numbers 1 to 50 are placed in the box and mixed thoroughly. So, the total numbers of outcomes = 50
Numbers between 1 to 50 with perfect cube = 1, 8, and 27
So, the number of favourable outcomes is 3.
The probability of an event is given by,
So, probability=

\frac{Number of favourable Outcomes}{Total number of Outcomes}

⇒ Probability =

\frac{3}{50}

⇒ Probability = 0.06
The probability that the number on the card is a number which is a perfect cube is 0.06.
So, the correct option is 1.

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