Explanation
Concept:
The probability that they will not win a prize in a single trial = 1 - The probability that they will win a prize in a single trial
Calculations:
Given, A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both win a prize.
Total number of possibilities = 25 × 25
Favourable number of their winning = 25
⇒ Probability of winning the prize = 251
The probability that they will not win a prize in a single trial = 1 - The probability that they will win a prize in a single trial
The probability that they will not win a prize in a single trial = 1 - 251
⇒ The probability that they will not win a prize in a single trial = 2524
