Question

Cards marked with number 5, 6, 7 ........,74 placed in a bag and mixed thoroughly one card is drawn at random from the bag find the probability that the number on the card is a perfect square

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

The probability that the number on the card is a perfect square is $\dfrac{3}{35}$.

Explanation:

Given : Cards marked with number 5, 6, 7 ........,74 placed in a bag and mixed thoroughly .

Perfect square numbers between 5 and 74= 9 , 16 , 25 , 36 , 49 , 64 .

i.e. The number of perfect square numbers between 5 and 74 =6

Favorable outcomes = 6

Total outcomes = 74-5+1= 70

Now , the probability that the number on the card is a perfect square = $\dfrac{Favorable\ outcomes}{Total\ outcomes}$

$=\dfrac{6}{70}=\dfrac{3}{35}$

Therefore , the probability that the number on the card is a perfect square is $\dfrac{3}{35}$.

#Learn more :

Cards marked with numbers 3, 4, 5, ..............., 50 are placed in a bag and mixed thoroughly. One card is drawn at random from the bag. Find the probability that number on the card drawn is:

a. Divisibleby7.

b. Aperfectsquare.

c. A multiple of 6

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