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Gennadij [26K]
3 years ago
7

Two cards are chosen at random without replacement from a pack of 52 playing cards if the first card chosen is an Ace what is th

e probability the second card chosen is also an ace
Mathematics
2 answers:
jonny [76]3 years ago
7 0
So originally you have 52 cards which means that no matter what card you want it'll be a 1/52 chance pulling that exact card.

You pull an Ace which gives you 51 cards left, and a 1/51 chance of pulling the card you want.

You want another Ace, and since it's a full deck of cards means that there should be 3 Aces left in the deck.

Probability of pulling another Ace is 3/51. Hope this Helps.
Amiraneli [1.4K]3 years ago
5 0
Since we removed one ace out of 52 cards now remains 51 cards and 3 aces.
The answer is 3/51
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After tossing the same coin 10 times, you are surprised to find that tails has come up 8 times. You therefore conclude that this
Arisa [49]
Whats the question you want us to solve

5 0
3 years ago
Given: sinθ = -3/5, θ is a third quadrant angle, and tan φ = -7/24, φ is a second-quadrant angle; find cos(θ + φ])
Natali [406]

Answer:

First option: cos(θ + φ) = -117/125

Step-by-step explanation:

Recall that cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)

If sin(θ) = -3/5 in Quadrant III, then cos(θ) = -4/5.

Since tan(φ) = sin(φ)/cos(φ), then sin(φ) = -7/25 and cos(φ) = 24/25 in Quadrant II.

Therefore:

cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)

cos(θ + φ) = (-4/5)(24/25) - (-3/5)(-7/25)

cos(θ + φ) = (-96/125) - (21/125)

cos(θ + φ) = -96/125 - 21/125

cos(θ + φ) = -117/125

8 0
2 years ago
If the mass of a material is 45 grams and the volume of the material is 11 cm^3, what would the density of the material be?
Nuetrik [128]

Answer:

Density of material would be 4.09 g/cm^3

units is g/cm^3

Step-by-step explanation:

Given: The mass of a material is 45 grams and the volume of the material is 11 cubic centimeter

Density is defined as mass per unit volume.

It is given by:

p= \frac{m}{V} where p is the density , m is the mass and V is the volume of the material respectively.

Here, Density is expressed in grams per centimeter cubed (g/cubic cm)

Here, m = 45 g , V = 11 cubic cm

We get;

p= \frac{45}{11} = 4.09 g/cm^3

therefore, density of a material would be, 4.09 g/cm^3

and its units is g/cm^3

7 0
2 years ago
Probability question!!
Alisiya [41]
Convert both perecentages to decimal form by dividing each of them by 100 to get 0.60 and 0.65. Next, multiply by 0.60 and 0.65 to get 0.39. Multiply the product by 100 to get the percentage form, 39%. So, the answer is 39%.
3 0
3 years ago
The sum of three numbers is 102. The first number is 6 more than the second. The third number is 4 times the second. What are th
const2013 [10]

Answer:

1st number: 22

2nd number: 16

3rd number: 64

Step-by-step explanation:

x + y + z = 102

x = 6 + y

z = 4y

plug that in!

(6 + y) + y + (4y) = 102

get rid of the parenthesis (I added them so you could see what I was replacing) and add like terms.

6 + 6y = 102

move 6 to the other side.

6y = 96

y = 16

now that you know one number, you can solve the equations for the rest!

x = 6 + (16)

z = 4(16)

__________________________________________________________

x = 22

y = 16

z = 64

6 0
2 years ago
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