Advertisements
Advertisements
Question
A box conatins 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 is
Options
`1/45`
`2/15`
`4/45`
`1/9`
Solution
Total number of outcomes = 45.
Out of the given numbers, perfect square numbers are 9, 16, 25, 36 and 49.
Numbers of favourable outcomes = 5.
∴ P(getting a number which is a perfect square) = `("Number of favourable outcomes")/"Number of all possible outcomes"`
`= 5/45 = 1/9`
Thus, the probability that the drawn card has a number which is a perfect square is `1/9`.
Hence, the correct answer is option (d).
APPEARS IN
RELATED QUESTIONS
A box contains 20 cards marked with numbers 1 to 20. One card is drawn at random. Event A is the number of the card which is multiple of 5. Write S, n(S), A and n(A).
A card is drawn at random from a pack of well shuffled 52 playing cards. Find the probability that the card drawn is a spade.
A die is thrown once. Find the probability of getting the number 5.
A child has a die whose 6 faces show the letters given below:
The die is thrown once. What is the probability of getting (i) A and (ii) B?
A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability of getting a queen.
A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability of getting a diamond.
A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability of getting a red ace.
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a face card.
A child’s game has 8 triangles of which 3 are blue and rest are red and 10 squares of which 6 are blue and rest are red. One piece is lost at random. Find the probability that it is a square
A child’s game has 8 triangles of which 3 are blue and rest are red and 10 squares of which 6 are blue and rest are red. One piece is lost at random. Find the probability that it is a square of blue colour
