NTA Abhyas JEE Main2020MathematicsProbabilityPractice
A purse contains three 10 paise, three 50 paise and ten 1 rupee coins. If three coins are selected at random, then the probability that the total amount is 2 rupees is
Options
- A2 5
- B3 56
- C1 4
- D1 8
Correct answer
B. 3 56
Step-by-step solution
Favourable cases = There is only one possibility as 3 coins must be two 50 paise coin and one 1 rupee coin Number of favourable ways = C 3 2 × C 10 1 Total number of ways = C 16 3 Hence, the required probability = C 3 2 × C 10 1 C 16 3 = 3 × 10 × 6 16 × 15 × 14 = 3 56