cards marked with numbers 2 to 51 are placed in a box and mixed thoroughly .A card is drawn from the box at random. find the probability that the number on the taken out card is a perfect square
Answers
Answer:
card marked with no.2 to 51 placed in the box
S=(2,3,4.......,51) n(s)=51
let A be the event that the card drawn be the number taken out is a perfect square
A=(1,4,9,16,25,36,49)
n(a)=7
the probability of event a is p(a)=n(a)÷n(s)
p(a)=7÷51
your answer
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Given: Card marked with numbers 2 to 51
To Find: Probability of drawing a card with a perfect square
Solution:
Card marked with numbers 2 to 51 are placed in the box
Total number of cards = 50( including 2 and 51)
Perfect squares lying between 2 to 51 = 6 (4, 9, 16, 25, 36, 49)
Probability of an event = No. of favourable outcomes / Total no. of outcomes
Here, the event is drawing a card with a perfect square
No. of favourable outcomes = 6
Total no. of outcomes = 50
Probability =
=
Therefore, the probability of drawing a card with a perfect square is 3/25.