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Answers
Answer:
(i) 5/9 (ii) 17/18
Step-by-step explanation:
Total number of coins = 100+50+20+10 = 180
(i) P(50p) = 100/180 = 5/9
(ii) P(not Rs. 5) = 1 - P(Rs. 5)
= 1 - 10/180
= 1 - 1/18
= 17/18
Step-by-step explanation:
Given:-
A piggy bank contains hundred 50p coins,
fifty 1 rupee coins ,twenty 2 rupee coins and ten 5 rupee coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down.
To find:-
What is the probability that the coin
I)will be a 50 p coin?
ii)will not be a 5 rupee coin?
Solution:-
Total number of 50p coins=100
Total number of 1 rupee coins=50
Total number of 2 rupee coins=20
Total number of 5 rupee coins=10
Total number of coins=100+50+20+10=180
we know that
Probability of an event E=
number of favourable outcomes/Total number of all possible outcomes
i) Probability of getting a 50p coin:-
P(50p)=Number of favourable outcomes to 50p/
Total number of possible outcomes
=>P(50p)=100/180
=>P(50p)=5/9
ii) Probability of getting a 5rupee coin:-
P(5)=Number of favourable outcomes to 5 rupee coin/Total number of possible outcomes
=>P(5)=10/180
=>P(5)=1/18
iii)Probability of getting not a 5rupee coin:-
We know that P(E)+P(not E)=1
=>P(not E)=1-P(E)
P(not 5)=1-P(5)
=>P(not 5)=1-(1/18)
=>P(not 5)=(18-1)/18
P(not 5)=17/18
Answer:-
I)5/9
2)17/18