SOLUTION: In a lottery game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 to 25. What is the probability of getting: a. Less than 6 o

Question 1055721: In a lottery game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 to 25. What is the probability of getting:
a. Less than 6 or greater than 9?
b. Divisible by 4 or divisible by 7?
c. Divisible by 3 or divisible by 4?
d. Odd number greater than 15?
e. Less than 12 or greater than 13?
f. If the probability is 0.51 that a candidate will win the elections, what is the probability that he will lose?
g. A single card is drawn from a standard 52-card deck. What is the probability of a face card?

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Fewer than 6 are 5 numbers. Greater than 9 are 16 numbers.
They add to 21 numbers, so the probability is 21/25=0.84.
Divisible by 4 or 7 are 4,8,12,16,20,24,7,14,21, or 9 numbers or 9/25 probability or 0.36.
Divisible by 3 or 4: 3,6,9,12,15,18,21,24,4,8,16,20, or 12 numbers or 12/25 probability or 0.48
Odd number greater than 15: 17,19,21,23,25 or 5/25 numbers or 0.20 probability.
Less than 12 (11 numbers) greater than 13 (12 numbers), 23 numbers or 0.92 probability.
Probability adds to 1. If two choices only, the probability of the second is 1-probability of the first: 0.49.
Face cards are J,Q,K. There are 13 cards in a suit, 3 are face cards 3/13=0.23 probability.
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