In a piggy bank,there are 10 notes and 50 coins.half of the total number of notes are of ₹50 and the rest are of ₹10.half of the total number of coins are of ₹2 and the rest are of₹1. Find the total amount in the box.
Answers
Total no. of coins in the piggy is 180
Solution(i):
No. of 50p coins in piggy is 100
Let E be the event of drawing a coin from piggy
We know that, Probability P(E) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
180
100
=
9
5
Therefore,Probability that a 50p coin wins =
9
5
Solution(ii):
No. of coins with value >Rs. 1 in piggy is 30
Let E be the event of drawing a coin from piggy
We know that, Probability P(E) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
180
30
=
6
1
Therefore,Probability that a coin with value >Rs.1 falls =
6
1
Solution(iii):
No. of coins with value <Rs 5 in piggy is 170
Let E be the event of drawing a coin from piggy
We know that, Probability P(E) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
180
170
=
18
17
Therefore,Probability that a coin with value <Rs.5 falls =
18
17
Solution(iv):
No. of Rs. 1 and Rs. 2 coins in piggy is 70
Let E be the event of drawing a coin from piggy
We know that, Probability P(E) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
180
70
=
18
7
Therefore,Probability that a Rs. 1 and Rs. 2 coin falls =
18
7