a)Probablity an event is likely to occur?
b) P of an impossible event?
c) Sample space consists of 25 separate events equally likely. What is P of each?
d) True/False test. P of correct if a random guess?
e)Multiple choice test with 5 possible answers for each, P of getting correcdt of random guess?

Solution Preview

a.)
<br>Probablity an event is likely to occur
<br>= no. of cases in favour of event/total sample space size
<br>
<br>--Answer
<br>
<br>b.)
<br>P of an impossible event = 0 (no event in favour of ...

Solution Summary

a)Probablity an event is likely to occur?
b) P of an impossible event?
c) Sample space consists of 25 separate events equally likely. What is P of each?
d) True/False test. P of correct if a random guess?
e)Multiple choice test with 5 possible answers for each, P of getting correcdt of random guess?

The events A and B are mutually exclusive. Suppose P(A)=0.30 and P(B)=0.40. What is the probability of either A or B occurring? what is the compliment of event A? What is the meaning?

1. You possess a 'standard deck of playing cards' (n = 52). First,
(a) identify the probability of selecting a spade, club, or heart. Second,
(b) calculate the probability of selecting a spade, heart, diamond, or face card. Identify
(c) the probability of selecting (in sequence) a two and a red jack (assuming that the fi

12. Let E, F, and G be three events. Find expressions for the events so that of E, F, and G:
(a) only E occurs;
(b) both E and G but not F occur;
(c) at least one of the events occurs;
(d) at least two of the events occur;
(e) all three occur;
(f) none of the events occurs.

A silver dollar is flipped twice. Calculate the probability of each of the following occurring:
a. a head on the first flip
b. a tail on the second flip given that the first toss was a head
c. two tails
d. a tail on the first and a head on the second
e. a tail on the first and a head on the second or a head on the first a

In a region, 20% of the population has brown eyes. If 15 people are randomly selected, find the probability that at least 13 of them have brown eyes. Is it unusual to randomly select 15 people and find that at least 13 of them have brown eyes?
- The probability at least 13 of 15 have brown eyes = ____ (three decimal places

Let E and F be non-zero-probabilityevents. If E and F are mutually-exclusive, can they also be independent? Explain the answer, and also prove it algebraically using the definitions of mutually-exclusive and independent events.

Question 3
An experiment consists of rolling one die. Let A be event that the die shows more than one, B be event that the die shows more than 4, and C be event that die shows an even number.
a) List the sample space of this experiment.
b) Find P(A), P(B), P(C)
c) Find P(A or C), P(A or B), P(A and C), P(B and C)
d) A

In a game show, a contestant is given a choice of 3 curtains. Behind one curtain is a prize, but the other two curtains conceal a sign saying "Sorry, you lose!". After the contestant chooses a curtain, the host, who knows where the prize is, will always open one of the curtains (not the one chosen by the contestant) to reveal a