Sunday, February 5, 2012

Probabilities!

Helllllooo,
I forgot to do this earlier, so now im stuck doing it during the Super Bowl.. oh wellll.. :D

0=event will not take place
1=certain event

P(event A)= favorable outcomes/total number of outcomes

Probability ranges from 0%-100%

**Prime numbers do not include 0 or 1.

P(A or B)= P(A)+P(B)-P(A and B)
(Probability of either of two events)

P(A or B)= P(A)+P(B)
(Probability of either of two mutuallly exclusive events)

Example 1:
Suppose a card is drawn from a well-shuffled standard deck of 52 cards. Find the probability of drawing each of the following.
a) a black card
=26/52
=1/2
b) spade
=1/4
c) not a spade
=3/4

Example 2:
Suppose a card is drawn from a well-shuffled standard deck of 52 cards. Find the probability of drawing each of the following.
a) red diamond
=13/52
=1/4
b) black diamond
=0/52
=0
c) not a black diamond
=52/52
=1

Example 3:
Suppose a card is drawn from a well-shuffled standard deck of 52 cards. Find the probability of drawing each of the following.
Mr. and Mrs. Smith each bought 10 raffle tickets. Each of their three children bought 4 tickets. If 4280 tickets were sold in all, what is the probability that the grand prize winner is:
a) Mr. or Mrs. Smith
20/4280
=1/214
b) one the of 5 Smith's
=32/4280
=4/535
c) none of the Smith's
=4248/4280
=531/535

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