A box contains some cards numbered from 3 to 50. A card is drawn at random from the
box. Find the probability that the card drawn is (i) a perfect square (ii) a perfect cube.
Answers
Answer:
The Answer for the first part is 1/8 and the for the second part is 1/ 24
The probability that the card drawn is a perfect square is 1/8
The probability that the card drawn is a perfect cube is 1/24
Step-by-step explanation:
The given in the question is
total Number of outcomes from 3 to 50 = 50-3+1= 48
Now perfect squares from 3 and 50 are
4, 9,16,25,36,49
therefore, the number of perfect squares between 3 to 50 = 6
Now, the P( getting a perfect square) = Number of perfect squares/ Total numbers
=> 6/48 = 1/8
Now for perfect cube
perfect cubes between 3 and 50 are
8, 27
therefore perfect cubes between 3 and 50 = 2
Now the probability of
P( getting a perfect cube) = number of perfect cubes / total numbers
=> 2/48= 1/24.
Answer:
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