Question

A box contains cards numbered 3 to 50. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect cube, is *​

Answer 1

Answer:

$\frac{1}{24}$

Step-by-step explanation:

n(s) = 50-3+1 => 48

n(a) = 2

p(a) = $\frac{n(a)}{n(s)}$ = $\frac{2}{48}$

      = $\frac{1}{24}$

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Answer 2

A perfect square is a number that can be expressed in form of a product of two integers that are equal.
Examples of perfect squares are :
1, 4 , 9 etc.
Between 6 and 50 the perfect squares in between are :
The list is as follows:
9, 16, 25, 36, 49
The probability that the drawn card has a number that is a perfect square will be given by :
Probability = Number of events/Total possible outcomes
Total possible outcomes ( 6 - 50) = 45
Number of perfect squares = 5
We express this as :
P(that the numbers are perfect squares) = 5/45
= 1/9