butterfly987
Answered

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A box contains cards numbered 6 to 50. A card is drawn at random from the box. The
probability that the drawn card has a number which is a perfect square like 4,9....is
(a) 1/45
(b) 2/15
(c) 4/45
(d) 1/9

Sagot :

Answer:

The  probability that the drawn card has a number which is a perfect square is (d) [tex]\dfrac{1}{9}[/tex].

Step-by-step explanation:

A box contains cards numbered [tex]6[/tex] to [tex]50[/tex]. So there are total [tex]45[/tex] cards, which is the sample space.

Among these cards, the numbers which are a perfect square are [tex]9,16,25,36,49[/tex]. So, there are [tex]5[/tex] perfect square number cards, whose probability we have to find.

Its probability is given by,

[tex]\begin{aligned}\dfrac{Cards Present}{Sample Space} &= \dfrac{5}{45} \\&=\dfrac{1}{9}\end{aligned}[/tex]

So, option d is correct.

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