An instant lottery game gives probability 0.02 of winning on anyone play. Plays are independent of each other. If you play 5 times, what is the probability that you win at least one game?

0.0961 or 9.61%

Step-by-step explanation:

The probability of winning at least one game can be calculated doing the inverse route: we calculate the chance of not winning a single game (losing all five), and then we calculate one minus this chance (the opposite of losing all games is not losing all games, which means winning at least one game)

The probability of losing a game is 1 - 0.02 = 0.98

So, losing all five games have a chance of (0.98) ^5 = 0.9039

If the probability of losing all 5 games is 0.9039, the probability of winning at least one game is 1 - 0.9039 = 0.0961 = 9.61%