Question

Which of the following is an example of dependent events?

Question 4 options:

rolling a die and flipping a coin

dealing two cards from a standard deck

picking a card from a deck and rolling a die

none of the above

Answer #1

Two events are dependent if happening of event effects or infleucnes the happening of another event

Here dealing two cards from a standard deck is an example of dependent events since if the outcome on the first card will have a effect on outcome on the second card

For example if i draw a heart out of deck of cards, the probability of drawing the heart = 13/52

= 1/4

Now if want to draw an another heart, the probability will be = 12/51

Clearly drawing first heart has an effect on drawing the second heart as the probability has changed

**So Answer is Option B**

dealing two cards from a standard deck

Which of the following pairs of events are independent?
Rolling a die and tossing a coin
Rolling a sum of 12 on two dice and rolling a 6 on one of two
dice
Scoring in a soccer game and winning a soccer game
All of the above are independent events
None of the above are independent events

Which of the following pairs of events are mutually
exclusive?
Question 3 options:
a
Drawing a face card or drawing a red card from a deck of
cards
b
Spinning a prime number or spinning an even number on a spinner
with eight sections numbered 1 to 8
c
Passing this test and wearing socks
d
All of the above are mutually exclusive
e
None of the above are mutually exclusive

What’s the
probability of the following series of events; rolling a 7 on a
fair set of 2 dice, followed by flipping a “heads” on a fair coin,
followed by selecting the ace of spades from a fairly shuffled deck
of 52 cards?
a.
0.0371
b.
0.0016
c.
0.0351
d.
0.0518
e.
0.3333

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...

For the below, identify whether it is an outcome (elementary
event) or an event (compound or composite event). You will get full
credit if you get them all correct. You will receive half credit if
you miss one. No points for none or one correct. a) Picking a Jack
from a deck of cards b) Rolling a die and getting a three c)
Flipping a coin twice and getting a Head and then a Tail

Problem 6: Dice and cards
An
experiment consists of rolling a single die and selecting a card
from a standard deck. Use this information to answer the following
three questions:
1
What is the
probability of rolling an even number and selecting the ace of
hearts?
2
What is the
probability of rolling a 3 and selecting a diamond?
3
What is the
probability of selecting an even number and selecting a king?

13.For the below, identify whether it is an outcome
(elementary event) or an event (compound or composite event). You
will get full credit if you get them all correct. You will receive
half credit if you miss one. No points for none or one
correct.
a) Picking a Jack from a deck of cards
b) Rolling a die and getting a three
c) Flipping a coin twice and getting a Head and then a
Tail

Consider tossing a coin and rolling a four-sided die
(with the numbers 1 through 4 printed on the
sides)
I'm confused about this question's meaning.
It said that tossing a coin (and) rolling a four-sided
die (with the numbers 1 through 4 printed on the
sides)
It said tossing a coin AND rolling a four sided die.
When there is a question like this, isn't it about finding tossing
a coin and rolling a four sided die separately? Does it...

1.)
Find the odds for and the odds against the event rolling a fair die
and getting a 3 or 4.
2.) Halfway through the season a soccer player has made 15
penalty kicks in 26 attempts. What is the relative frequency
probability that she will make her next penalty kick?
3.) You toss a coin 100 times and get 93 tails. what is the
relative frequency probability? Determine the expected frequency of
the event as well.
4.) Find the...

The following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
means there are four...

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