card marked with numbers 13 ,14,15...60are placed in a box and mixed thoroughly on card is drawn at random from the box find the probability that on the card.
4.divisible by 7
Answers
Answer:
Let E be event of drawing a card with number divisible by 5 from the cards marked with numbers 13,14,15,....,60
Numbers divisible by 5 from 13 to 60=15,20,25,30,35,40,45,50,55,60
No. of favorable outcomes=10
Total no. of possible outcomes =48
We know that, Probability P(E) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
48
10
=
24
5
Therefore, the probability that a number on the card selected from numbers 13,14,15,...,60 divisible by 5 is
24
5
Solution(ii):
Let G be event of drawing a card with a perfect square number from the cards marked with numbers 13,14,15,....,60
Numbers, perfect square, from 13 to 60=16,25,36,49
No. of favorable outcomes=4
Total no. of possible outcomes =48
We know that, Probability P(G) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
48
4
=
12
1
Therefore, the probability that a card with perfect square number is selected from numbers 13,14,15,...,60 =
12
1