Question

- Determine whether the following events are
disjoint.
(3)
- Randomly drawing a spade from a deck of cards.

Randomly drawing a heart from a deck of cards.

- Randomly selecting a person born on January 25.

Randomly selecting a person that is 25 years old.

- Rolling a 5 on a single roll of a six-sided die.

Rolling an odd number on a single roll of a six-sided die.

Answer #1

1. Randomly drawing a spade from a deck of cards. Randomly drawing a heart from a deck of cards.

In a deck of 52 cards, there are 4 types of cards:
**Spades,** Clubs, Hearts and Diamonds. So a spade can
not be a heart and a heart can never be a spade. So these 2 events
are disjoint.

2. Randomly selecting a person born on January 25. Randomly selecting a person that is 25 years old. These 2 events are not disjoint because a person born on January 25 can be 25 years old and a person who is 25 years old can have birthday on January 25.

3. Rolling a 5 on a single roll of a six-sided die. Rolling an odd number on a single roll of a six-sided die.

Here the outcome of 2nd event can be 1,3,5 so these 2 events are not disjoint.

Determine whether the following procedures results in a
binomial distribution. If not, state which requirement it
does not satisfy.
(4)
Selecting three cards (with replacement) from a well-shuffled
deck of playing cards and keeping track of red or black card.
Rolling a six-sided die 5 times and keeping track of all the
numbers rolled.

17. Selecting a Card- A card is selected at random from
a standard deck. Find each probability.
A. Randomly selecting a diamond or seven
B. Randomly selecting a red suit or a queen
C. Randomly Selecting a three or face card
18. Rolling a Die- You roll a die. Find each
probability.
A. Rolling a six or a number greater than four
B. Rolling a number less than five or an odd number
C. Rolling a three or an even...

FIND EACH PROBABILITY
17. Selecting a Card- A card is selected at random from
a standard deck. Find each probability.
A. Randomly selecting a diamond or seven
B. Randomly selecting a red suit or a queen
C. Randomly Selecting a three or face card
18. Rolling a Die- You roll a die. Find each
probability.
A. Rolling a six or a number greater than four
B. Rolling a number less than five or an odd number
C. Rolling a three...

Determine whether the following individual events are
independent or dependent. Then find the probability of the combined
event.
1.) Drawing three jacks in a row from a standard deck of cards
when the drawn card is not returned to the deck each time
-The event of drawing a jack and the event of
drawing a jack the next time are dependent or
independent.
-The probability of drawing three jacks in a row
from a standard deck of cards when the...

What is the probability of each of the following?
a) rolling an odd number on a standard 6-sided die
b) rolling at least 2 on a standard 6-sided die
c) pulling a red ball from a bag containing 8 yellow, 6 red and
10 purple balls
d) randomly selecting your single favorite meal from a menu that
includes 5 salads, 6 entrees, and 2 desserts.

Consider an experiment of rolling an 8 sided die a single time.
Recall the events used in problem 3. Determine the probability of
the following compound events occurring.
Events from problem 3:
A) A person rolls a 2
C) A person rolls at least a 2
B) A person rolls an even number
D) A person rolls a 9
Determine the probability of:
A and B
A and C
A or C
B or D

Question 3: Consider the following experiment: A ball is drawn
from an urn containing 2 red balls, 2 white balls and 4 blue balls.
If the ball drawn is white, a fair coin is flipped and the outcome
is recorded. If the ball is blue, a card is drawn from a standard
(52 card) deck and the suit (club ♣, diamond ♦, heart ♥ and spade
♠, present in equal proportions in the deck) is recorded. If the
ball is...

Compute the following probabilities. Express your answer as a
decimal, rounded to three decimal places.
(a) Chris has 6 t-shirts, 3 pairs of pants, and 1 pair of
underwear. Assuming he chooses what to wear randomly and washes his
clothes every day (hopefully), what is the probability of him
wearing the exact same outfit two days in a row?
(b) Three distinct six sided dice are rolled, what is the
probability that the sum of the three dice is five?...

1. Suppose that A, B are two independent events, with
P(A) = 0.3 and P(B) = 0.4.
Find P(A and B)
a. 0.12
b. 0.3
c. 0.4
d. 0.70
2. Experiment: choosing a single ball from a bag which
has equal number of red, green, blue, and white ball and then
rolling a fair 6-sided die.
a.) List the sample space.
b.) What is the probability of drawing a green ball and
even number?
2.

Determine whether or not the random variable X is a binomial random
variable. If so, give the values of n and p. If not, explain why
not.
a. X is the number of dots on the top face of fair die that is
rolled.
b. X is the number of hearts in a five-card hand drawn
(without replacement) from a well shuffled ordinary deck.
c. X is the number of defective parts in a sample of ten
randomly selected parts...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 17 minutes ago

asked 19 minutes ago

asked 50 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago