Question 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. Question 1 How many triangles are of red colour and how many squares are of red colour? (a) 5, 4 (b) 4, 5 (c) 5, 5 (d) 8, 6 Given that
Game has 8 triangles of which 3 are blue & rest are red,
And 10 squares of which 6 are blue & rest are red
Thus, there are
8 triangles – 3 blue and 5 red
10 squares – 6 blue, 4 red
So, the correct answer is (A)
Question 2 Find the probability that lost piece is triangle. (A) 4/9 (B) 5/9 (C) 1/3 (D) 5/18Total Triangles = 8
Total squares = 10
Thus,
Total pieces = 10 + 8 = 18
Now,
Probability that lost piece is triangle = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑟𝑖𝑎𝑛𝑔𝑙𝑒𝑠)/(𝑇𝑜𝑡𝑎𝑙 𝑝𝑖𝑒𝑐𝑒𝑠)
= 8/18
= 𝟒/𝟗
So, the correct answer is (A)
Question 3 Find the probability that lost piece is square. (A) 4/9 (B) 5/9 (C) 1/3 (D) 5/18Total Triangles = 8
Total Squares = 10
Thus,
Total pieces = 10 + 8 = 18
Now,
Probability that lost piece is square = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑠𝑞𝑢𝑎𝑟𝑒𝑠)/(𝑇𝑜𝑡𝑎𝑙 𝑝𝑖𝑒𝑐𝑒𝑠)
= 10/18
= 𝟓/𝟗
So, the correct answer is (B)
Question 4 Find the probability that lost piece is square of blue colour. (A) 4/9 (B) 5/9 (C) 1/3 (D) 5/18Now, we have
8 triangles – 3 blue and 5 red
10 squares – 6 blue, 4 red
Total pieces = 10 + 8 = 18
Now,
Probability that lost piece is blue square
= (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑏𝑙𝑢𝑒 𝑠𝑞𝑢𝑎𝑟𝑒𝑠)/(𝑇𝑜𝑡𝑎𝑙 𝑝𝑖𝑒𝑐𝑒𝑠)
= 6/18
= 𝟏/𝟑
So, the correct answer is (c)
Question 5 Find the probability that lost piece is traingle of Red colour. (A) 4/9 (B) 5/9 (C) 1/3 (D) 5/18Now, we have
8 triangles – 3 blue and 5 red
10 squares – 6 blue, 4 red
Total pieces = 10 + 8 = 18
Now,
Probability that lost piece is red triangle
= (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑟𝑒𝑑 𝑡𝑟𝑖𝑎𝑛𝑔𝑙𝑒)/(𝑇𝑜𝑡𝑎𝑙 𝑝𝑖𝑒𝑐𝑒𝑠)
= 𝟓/𝟏𝟖
So, the correct answer is (d)

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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