# Thread: Mutually exclusive events and law of complement problems!

1. ## Mutually exclusive events and law of complement problems!

1. In a game show, sergio is asked to draw a single ball from a box containing 50 balls numbered 1 to 50. If the ball drawn bears a prime number or multiple of 10, Sergio wins 1,000 in cash . Similarly, if Sergio draws a ball whose number is either an even number or a multiple of 5, he wins 500 in cash. what is the probability that sergio shall win ...
a) 1,000?
b) 500?

2. What is the probability of picking a card that is either is either a diamond or an ace from a standard deck of 52 cards?

3. A box contains 4 white balls and 5 red balls. If three balls are drawn from the box, find the probability that;
a) one ball is white
b) no ball is white
c) atleast one ball is white
d) at most one ball is white

Can somebody out there help me up? I really do appreciate it if anybody could help me?

2. Originally Posted by divinewisdom0218
2. What is the probability of picking a card that is either is either a diamond or an ace from a standard deck of 52 cards?
3. A box contains 4 white balls and 5 red balls. If three balls are drawn from the box, find the probability that;
a) one ball is white
b) no ball is white
c) atleast one ball is white
d) at most one ball is white
2.
P(diamond)=13/52
p(ace)=4/52
p(diamond or ace)=p(d U a)

p(d U a)
=p(d)+p(a)-p(diamond and ace)
=13/52+4/52-1/52

3.
a) p(WRR)+p(RWR)+p(RRW)
b) p(RRR)
c) 1-p(RRR)
d) p(WRR)+p(RWR)+p(RRW)+p(RRR)

3. 1. If i remember it correctly, P(winning 1000) = P(getting a prime number or a multiple of 10) try doing this, kabayan..

4. Originally Posted by divinewisdom0218
1. In a game show, sergio is asked to draw a single ball from a box containing 50 balls numbered 1 to 50. If the ball drawn bears a prime number or multiple of 10, Sergio wins 1,000 in cash . Similarly, if Sergio draws a ball whose number is either an even number or a multiple of 5, he wins 500 in cash. what is the probability that sergio shall win ...
a) 1,000?
b) 500?

[snip]
What happens if the number is a multiple of 5 AND a multiple of 10 eg. 20? Does Sergio win $1500 rather than$1000 or \$500?