What is the probability of flipping a fair coin and having 4 consecutive heads?A. 1/8

B. 1/16

C. 1/2

D. 1/6

Answers

Answer 1

Answer:

Let X be the event of getting head on flip of a fair coin. As the coin is fair the probability of getting head or tail is same which is 1/2.

Now probability of getting 4 consecutive heads

P(4 consecutive heads) = P(head on first flip) * P(head on second flip) * P(head on third flip) * P(head on fourth flip)

= (1/2) * (1/2) * (1/2) * (1/2)

= 1/16

The probability of getting head on four consecutive flips is B. 1/16

Related Questions

What is 100/45 in a mixed number
Write an algebraic expression to answer the question below. A pipe is cut into two pieces. One piece has a length of 37 feet. If the other piece has a length of U feet, what was the total length of the pipe, in feet, before it was cut?
At 3:30 P.M. the angle between the hands of a clock is
Please solve the following simultaneous equation: 4x-3y=15 8x^2-27y^2=45
Write the equations included in the same set of related facts as 6 x 8 =48

43%×64%÷3+86×18=what?

Answers

Answer:

1548.09173333

Answer:

43%×64%÷3+86×18=

1548.09173333

Step-by-step explanation:

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Mark brainliest

the length of the base of a triangle is twice its height. if the area of the triangle is 4 square kilometers, find the height

Answers

The height of the triangle is 2 kilometer.

A triangle is a 3-sided polygon. The sum of the angles in a triangle add up to 180 degrees. The sides of a triangle are the length, base and the hypotenuse.

The area of a triangle = $(1)/(2)$ × base × height

Let:

t represent the height of the triangle.

Base = 2 x t = 2t

Area = 4

4 = $(1)/(2)$ × 2t x t

Multiply both sides of the equation by 2

8 = 2t²

Divide both sides by 2

4 = t²

Find the square root of both sides of the equation

t = 2 kilometer.

To learn more, please check: brainly.com/question/24865193?referrer=searchResults

let the height = x

Base = 2x

Area of triangle = (1/2)*base*height

Area = (1/2)*2x*x = 4

x² = 4

x = √4

x = 2

Height = 2 km.

Find the perimeter of the right triangle. If necessary, round to the nearest tenth

Answers

Answer:

12 yards

Step-by-step explanation:

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Help for branliest
Find h.
9 ft
h = [?] ft

Answers

Answer:

Step-by-step explanation:

$9^(2)$ - $2^(2)$ = $h^(2)$

81 - 4 = $h^(2)$

77 = $h^(2)$

$√(77)$ = h

Answer:

h=rt 79

Step-by-step explanation:

Which pair of measurements is not equivalent?3 hours, 10 minutes and 190 minutes
240 minutes, and 4 hours
350 minutes, and 5 hours, 50 minutes
480 minutes, and 6 hours

Answers

Answer:

480 minutes, and 6 hours

Step-by-step explanation:

At first we should know that

1 hour = 60 minutes

We will check which option is not equivalent.

1) 3 hours, 10 minutes and 190 minutes

3 hours, 10 minutes = 3 * 60 + 10 = 180 + 10 = 190 minutes

So, the pair of measurements is equivalent.

2) 240 minutes, and 4 hours

4 hours = 4 * 60 = 240 minutes

So, the pair of measurements is equivalent.

3) 350 minutes, and 5 hours, 50 minutes

5 hours, 50 minutes = 5 * 60 + 50 = 300 + 50 = 350 minutes

So, the pair of measurements is equivalent.

4) 480 minutes, and 6 hours

6 hours = 6 * 60 = 360 minutes

So, the pair of measurements is not equivalent.

Express
$2 ^( - 7)$
using a positive exponent.

Answers

Answer:

$(1)/(2^7)$

Step-by-step explanation:

To express the number 2⁻⁷ with a positive exponent, we'll make use of the properties of exponents and their relationship with reciprocals.

$\hrulefill$

Here's a list of the exponent properties:

$\boxed{\left\begin{array}{ccc}\text{\underline{Properties of Exponents:}}\n\n1.\ a^0=1\n\n2.\ a^m * a^n=a^(m+n)\n\n3.\ a^m / a^n \ ((a^m)/(a^n) )=a^(m-n)\n\n4.\ (ab)^m=a^mb^m\n\n5.\ (a/b)^m=a^m/b^m\n\n6.\ (a^m)^n=a^(mn)\n\n7.\ a^(-m)=1/a^m\n\n8.\ a^(m/n)=(\sqrt[n]{a} )^m\end{array}\right}$