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CBSE Class 10 Maths (Standard) 2023 · Paper 30/5/1 · Question 37

Probability 4 marks Hard
A middle school decided to run the following spinner game as a fund-raiser on Christmas Carnival. Spinner I has three equal sectors Red (R), Green (G) and Yellow (Y). Spinner II has three equal sectors Red (R), Blue (B) and Green (G). Making Purple : Spin each spinner once. Blue and red make purple. So, if one spinner shows Red (R) and another Blue (B), then you 'win'. One such outcome is written as 'RB'. Based on the above, answer the following questions :
R G Y I
Spinner I with sectors R, G, Y.
R B G II
Spinner II with sectors R, B, G.
  1. (i)List all possible outcomes of the game.[1]
  2. (ii)Find the probability of 'Making Purple'.[1]
  3. (iii) (a)For each win, a participant gets Rs 10, but if he/she loses, he/she has to pay Rs 5 to the school. If 99 participants played the game, calculate how much fund could the school have collected.[2]
  4. (iii) (b)If the same amount of Rs 5 has been decided for winning or losing the game, then how much fund had been collected by school ? (Number of participants = 99)[2]

Answer

(i) 9 outcomes; (ii) ; (iii)(a) Rs 330; (iii)(b) Rs 385

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