Question 10 of 55intermediate🔧 ApplyShort Answer2 marks
A piggy bank contains hundred 50p coins, fifty ₹ 1 coins, twenty ₹ 2 coins and ten ₹ 5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin (i) will be a 50 p coin ? (ii) will not be a ₹ 5 coin?
(i)
Answer
5/9
(ii)
Answer
17/18
Explanation
This question tests the fundamental concept of probability with equally likely outcomes. Students need to first calculate the total number of coins in the piggy bank, then apply the probability formula P(E) = Number of favourable outcomes / Total number of possible outcomes. For part (ii), students can either directly count non-₹5 coins or use the complement formula P(not E) = 1 - P(E).