All categories

3 years ago

A card is picked from a standard deck of 52 cards. determine the odds against and the odds in favor of selecting a 10

1 answer:

8 0

You are given a card is picked from a standard deck of 52 cards. You are asked to determine the odds against and the odds in favor of selecting a 10. There are a total of 52 cards in a deck. In selecting a 10 of any card, you get four 10's in all kinds of cards (spade, clover, heart, diamond). So to solve for the probability of the odds in favor of selecting a 10, divide four by 52 and you get 10/52 or 5/26. To solve for the probability of the odds against selecting a 10, subtract four from 52 and you will get 48 and then divide it by 52 so 48/52 or 12/13.

You might be interested in

A solid oblique pyramid has a regular hexagon base with an area of 54_/3 cm^2 and an edge length of 6cm. Angle BAC measures 60 d

Lady_Fox [76]

Answer: The answer is (C) 324 cubic cm.

Step-by-step explanation: As given in the question, given a solid oblique pyramid with a regular hexagonal base and area 54√3 cm². Also, the edge length of the base is 6cm and ∠BAC = 60°.

We are to find the volume of the pyramid.

The formula for finding the volume of a pyramid is given by

$V=\dfrac{1}{3}b\times h,$

where, 'b' is the base area and 'h' is the perpendicular height of the pyramid.

Here, b = 54√3 cm², h = ?

Now, from the right-angled triangle ABC, we have

$\dfrac{\textup{BC}}{\textup{AC}}=\tan 60^\circ\\\\\Rightarrow \dfrac{h}{6}=\sqrt 3\\\\\Rightarrow h=6\sqrt 3.$

Therefore, the volume of the pyramid is

$V=\dfrac{1}{3}b\times h=\dfrac{1}{3}\times 54\sqrt 3\times 6\sqrt 3=324.$

Thus, the required volume is $V=324~\textup{cm}^3.$ This makes (C) as the correct option.

5 0

3 years ago

This sphere has a radius of 3 cm. What is the surface area of the sphere?

Oduvanchick [21]

Hope this helps! Mark brainly please!

5 0

2 years ago

What is -12.6 as a simplified percent?

fenix001 [56]

-12.6 as a percent is -1260%

3 0

3 years ago

How would you convert an angle in degrees to an angle in radians?

Scilla [17]

For reference, one full circle is 360 degrees or 2pi radians.

If we were to convert 360 degrees to radians, we could set up the following equation:

360k = 2pi

where k is a constant. By solving for k, we can find what value we must multiply any angle in degrees by to get its radian counterpart.

Divide both sides by 360:

k = 2pi/360

Reduce:

k = pi/180

So to convert an angle from degrees to radians, multiply it by pi/180. For example, 120 degrees would be:

120 * pi/180 = 2pi/3 radians

6 0

3 years ago

Simplify the following using PEMDAS: [3−(3⋅3)+33÷3] × 4⋅5/10−2⋅3

kompoz [17]

Answer: 34

Step-by-step explanation:

Given expression

[3 - (3 · 3) + 33 ÷ 3] × 4 · 5 / 10 - 2 · 3

Simplify by parentheses in the bracket

=[3 - 9 + 33 ÷ 3] × 4 · 5 / 10 - 2 · 3

Simplify by multiplication

=[3 - 9 + 33 ÷ 3] × 20 / 10 - 6

Simplify by division

=[3 - 9 + 11] × 10 - 6

Simplify by bracket (addition/subtraction)

=[-6 + 11] × 10 - 6

=[4] × 10 - 6

Simplify by multiplication

=40 - 6

Simplify by subtraction

= $\boxed{34}$

Hope this helps!! :)

Please let me know if you have any questions

8 0

2 years ago