An instant lottery game gives you probability 0.02 of winning on any one play. Plays are independent of each other.

If you play 4 times, the probability (±0.0001) that you win on none of your plays is about

P = (1-.02)^4 = ?

dfb

0.7237

To find the probability of winning on none of your plays, we need to find the probability of losing on each play and then multiply them together.

The probability of losing on any one play is given by 1 minus the probability of winning on that play. In this case, the probability of losing on any one play is 1 - 0.02 = 0.98.

Since the plays are independent of each other, we can multiply the probabilities of losing on each play together to find the probability of losing on all four plays.

So the probability of losing on all four plays is 0.98 * 0.98 * 0.98 * 0.98 = 0.92236816.

Rounding to four decimal places, the probability of winning on none of your plays is approximately 0.9224.