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nlexa [21]
2 years ago
11

Shue a full deck of cards and turn them over one by one until an Ace appears. It turns out that this happened exactly when the 2

0th card was turned over. What is the probability that the next card is (a) the ace of spades; (b) the two of clubs
Mathematics
1 answer:
BigorU [14]2 years ago
8 0

Answer:

Step-by-step explanation:

In a standard deck of cards, there 54 cards (52 cards plus 2 Jokers). There are 4 suits (kinds of shapes) in a deck namely: Clubs, Diamonds, Hearts and Spades. Each of the suits numbers from number 2 to number 10 (numbering 36 cards). Afterwards, we have 4 suits each for the Jack, Queen, King & Ace cards (numbering 16 cards). And then 2 Jokers

An Ace turned up at the 20th card, this means there 34 cards left. The number of cards left is given by the difference between 54 & 20. Mathematically shown below:

Cards left = 54 - 20 = 34

Total number of cards = 54, number of Aces of Spades ♠ in the deck = 1, number of two clubs ♣ in the deck = 1

A. Probability of the next card being Ace of Spades ♠ = the number of Ace of Spades card in the deck ÷ Total number of cards left in the deck

Pr (Ace of Spades) = 1 ÷ 34

Pr (Ace of Spades) = 0.0294 or 2.94%

B. Probability of the next card being Two of Clubs ♣ = the number of Two of Clubs card in the deck ÷ Total number of cards left in the deck

Pr (Two of Clubs) = 1 ÷ 34

Pr (Two of Clubs) = 0.0294 or 2.94%

It therefore implies that the chancess of the next card being Ace of Spades (A ♠) or Two of Clubs (2 ♣) is the same; the Ace of Spades is just equally as likely to be picked as the next card from the deck as Two of Clubs

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Elina [12.6K]

Answer:

Archimedes was the first to derive this formula.

Step-by-step explanation:


7 0
3 years ago
UNESS has a contribution margin ratio of 0.25. UNESS operations income was sh.100 000blast year when the sales totaled sh. 1 000
artcher [175]

Answer:

D sh.225000

Step-by-step explanation:

Calculation to determine UNESS fixed expense?

Using this formula

Fixed expense=(Total sales - Operating income)*Contribution margin ratio

Let plug in the formula

Fixed expense=($1,000,000-$100,000)*0.25

Fixed expense=$900,000*0.25

Fixed expense=$225,000

Therefore UNESS fixed expense is $225,000

5 0
3 years ago
Write the equation of the line that has a slope of 2 and passes through the point (-3,4).
Arte-miy333 [17]

Answer:

y = 2x + 10

Step-by-step explanation:

We are given the slope of the line and the coordinates of one point on the line.  Thus, we use the point-slope formula y - k = m(x - h).  Here m = 2, h = -3 and k = 4.  Therefore we have:

y - 4 = 2(x + 3)

which can be rewritten as y = 2x + 6 + 4, or y = 2x + 10 (Answer D)

4 0
3 years ago
The sum of two consecutive odd intergers is 92
frutty [35]

Answer:

45,47

Step-by-step explanation:

(x)+(x+2)=92

= 2x+2=92

=2x=90

x=45

x+2=47

8 0
3 years ago
Read 2 more answers
Ise the terms 4, 12a, 6, 2a, and 24 to make equivalent expressions
Sedaia [141]

Answer:

12a + 24 = 6(2a + 4) is the equivalent expressions

Step-by-step explanation:

Given the terms ; 4, 12a, 6, 2a, and 24

There are two terms with unknown = 12a and 2a

but 12a = 2a x 6 .........(1)

from the last term = 24 = 6 x 4 ...........(2)

add both equation 1 and 2 = 12a + 24

12a + 24 = 6(2a + 4) is the equivalent expressions .

to VERIFY; Use a = 2

substitute into the expression ; LHS = RHS

= 12(2) + 24 = 24 + 24 = 48 (LHS)

FOR RHS = 6(2a+4) = 6(2x2 + 4)

= 6(4+4) = 48

Hence LHS = RHS

6 0
3 years ago
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