From a standard deck of cards, one card is drawn. What is the probability that the card is black and a
jack? P(Black and Jack)
P(Black) = 26/52 or ½ , P(Jack) is 4/52 or 1/13 so P(Black and Jack) = ½ * 1/13 = 1/26
A standard deck of cards is shuffled and one card is drawn. Find the probability that the card is a queen
or an ace. P(Q or A) = P(Q) = 4/52 or 1/13 + P(A) = 4/52 or 1/13 = 1/13 + 1/13 = 2/13
WITHOUT REPLACEMENT: If you draw two cards from the deck without replacement, what is the
probability that they will both be aces? P(AA) = (4/52)(3/51) = 1/221.
1
WITHOUT REPLACEMENT: What is the probability that the second card will be an ace if the first card is a
king? P(A|K) = 4/51 since there are four aces in the deck but only 51 cards left after the king has been
removed.
WITH REPLACEMENT: Find the probability of drawing three queens in a row, with replacement. We pick
a card, write down what it is, then put it back in the deck and draw again. To find the P(QQQ), we find the
probability of drawing the first queen which is 4/52. The probability of drawing the second queen is also
4/52 and the third is 4/52. We multiply these three individual probabilities together to get P(QQQ) =
P(Q)P(Q)P(Q) = (4/52)(4/52)(4/52) = .00004 which is very small but not impossible.
Probability of getting a royal flush = P(10 and Jack and Queen and King and Ace of the same suit)
What's the probability of being dealt a royal flush in a five card hand from a standard deck of cards? (Note:
A royal flush is a 10, Jack, Queen, King, and Ace of the same suit. A standard deck has 4 suits, each with
13 distinct cards, including these five above.) (NB: The order in which the cards are dealt is unimportant,
and you keep each card as it is dealt -- it's not returned to the deck.)
The probability of drawing any card which could fit into some royal flush is 5/13. Once that card is taken
from the pack, there are 4 possible cards which are useful for making a royal flush with that first card, and
there are 51 cards left in the pack. therefore the probability of drawing a useful second card (given that the
first one was useful) is 4/51. By similar logic you can calculate the probabilities of drawing useful cards for
the other three. The probability of the royal flush is therefore the product of these numbers, or
5/13 * 4/51 * 3/50 * 2/49 * 1/48 = .00000154
$116.02 interest will be earned in 9 months
Step-by-step explanation:
The formula for simple interest is given by:
Here
P is the initial amount
r is the interest
t is the time measured in years
Given
P = $2475
r = 6.25% = 
t = 9 months
Converting time into year by dividing by 12
Putting the values in the formula
Rounding off to nearest hundredth
I = $116.02
Hence,
$116.02 interest will be earned in 9 months
Keywords: Interest, simple interest
Learn more about simple interest at:
#LearnwithBrainly
Answer:
$2,476.67
Step-by-step explanation:
Data provided in the question:
Annual insurance amount paid = $0.40 per $100 on his $455,000 home
Monthly mortgage payments = $2325.00
Now,
Annual insurance amount = [ $0.40 ÷ $100 ] × $455,000
= $1,820
Therefore,
Monthly insurance amount = [ Annual insurance amount ] ÷ 12
= $1,820 ÷ 12
= $151.67
Therefore,
His total monthly payment
= Monthly mortgage payments + Monthly insurance amount
= $2325.00 + $151.67
= $2,476.67
8000 + 300 + 70 + 4 + 0.2 + 0.01
This would simply be 0.008 * 5700, because %'s are out of 100.
So the fee would be $45.60
