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Acct/270 Week 4 Research Paper

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CSIT 270 Homework 6
Q1.1
Ans 1.1 If S is a finite sample space of equal likely outcomes and E is an event , that is a subset of S
Then the probability of E is :

P(E) =

The probability that a five-card poker hand does not contain the queen of hearts is determined as follows:

If 5 cards are drawn then chances of not getting the queen of hearts in the first draw is
If there is no chance getting the queen of hearts in drawn and the chance of not getting it in 2nd draw is

If there is no chance getting the queen of hearts in drawn and the chance of not getting it in 3rd draw is
If there is no chance getting the queen of hearts in drawn and the chance of not getting it in 4th draw is
If there is no chance getting the queen of hearts …show more content…

a) The probability of no failures
b) the probability of at least one failure
c) the probability of at most one failure
d) probability of at least two failures

Ans 5:

Given that n independent Bernoulli trails are carried out with probability of success being p
The probility of failure is 1 – p

( a) : The probability of no failure is the same as the probability of all sucessess

(b): The probability of atleast one failure is the sum of probability of 1,2,3,……. N failures which is the same as deductiong no failures from total probablility 1

1-

(c): the probabiltyi of atmost one failure is the sum of the probability of most one failure

+ + n(1-p)

(d):

The probability that there are atleast 2 failures is the sum of the probabilities of 2,3, ….. n failures

It is the same as subtracting the probabilities of 1 and 0 failures from the total probability 1.

1- [ +
= 1- [ + n(1-p)]

6. Suppose that E and F are events in a sample space and p(E)=1/3, p(F)=1/2 and p(E|F)=2/5. Find

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