an instant lottery game gives you probability .02 of winning on any one play. Plays are indpendent of each other. If you play 5 times, what is the probability that you win at least once.
To determine "either-or" probabilities, you add the probabilities of the individual events. Since the probabilities of each event are the same, you could multiply by 5.
I hope this helps. Thanks for asking.
For either-or probability, you add the probabilities of the individual events. Since all the probabilities are the same, you can just multiply the probaiblity by 5.
I hope this helps. Thanks for asking.
To find the probability of winning at least once in 5 plays of the instant lottery game, we can use the concept of complementary probability.
The complementary probability is the probability of an event not occurring. In this case, it is the probability of not winning at all in 5 plays.
The probability of not winning in one play is given as 1 - 0.02 = 0.98. Since the plays are independent, the probability of not winning in all five plays is calculated by raising 0.98 to the power of 5.
P(not winning in 5 plays) = 0.98^5
To find the probability of winning at least once, we subtract the probability of not winning at all from 1.
P(winning at least once) = 1 - P(not winning in 5 plays)
P(winning at least once) = 1 - 0.98^5
Now, we can calculate the probability:
P(winning at least once) = 1 - 0.9039
P(winning at least once) = 0.0961
So, the probability of winning at least once in 5 plays of the instant lottery game is approximately 0.0961, or 9.61%.