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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 less than 25.

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a

0.48

b

0.5

c

0.25

d

1

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. One card is drawn from this box.
Total number of outcomes are all the numbers from 1 to 50 = 50.
From the given data we have, numbers less than 25 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24.
So, the number of favourable outcomes is 24.
Probability=

\frac{Favourable Outcomes}{Total number of Outcomes}

⇒ Probability of number being less than 25 =

\frac{24}{50}

⇒ Probability of number being less than 25 = 0.48
The probability of a number less than 25 is 0.48.
So, the correct option is 1.

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