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3 years ago

What's the probability of rolling a prime number on a fair die

Mathematics

2 answers:

agasfer [191]3 years ago

6 0

Answer:

50% chance

Step-by-step explanation:

if it's a six-sided die, the options are 2, 3, and 5. that's three numbers out of six, or half (50%)

Jet001 [13]3 years ago

5 0

Answer:

1/2 ; 50%

Step-by-step explanation:

Probability is number of desired outcomes/number of total outcomes.

In a fair die, there are 6 total outcomes.

Now, let's find how many desired outcomes there are.

We can do this by naming the prime numbers form 1-6.

Prime numbers are numbers that are divisible by 2 positive integers: 1 and itself.

This means that 1, 4, and 6 are not prime numbers.

The prime numbers are: 2, 3, and 5.

So there are 3 desired outcomes.

That means the probability would be 3/6

This can be simplified to 1/2, or 50%

You might be interested in

When 8 is subtracted from the square of a number, the result is 7 times the number.

LuckyWell [14K]

Answer:

Step-by-step explanation:

x^2 - 8 = 7x

x^2 - 7x - 8=0

(x - 8)(x + 1)=0

x - 8= 0 x + 1=0

x=8 x= -1

8 is the positive solution

4 0

3 years ago

Use the quadratic formula to solve the equation.<br><br> 4x^2−10x+5=0

finlep [7]

Quadratic formula:

$x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}$

What do we have:

a=4

b=-10

c=5

Substitude:

$x=\frac{10±\sqrt{b^{2}-4(4)(5)}}{2(a)}$

Solve:

$x=\frac{10±\sqrt{(-10)^{2}-4(4)(5)}}{2(4)}\\\\x=\frac{10±\sqrt{100-4(20)}}{8}\\\\x=\frac{10±\sqrt{100-4(20)}}{8}\\\\x=\frac{10±\sqrt{100-80}}{8}\\\\x=\frac{10±\sqrt{20}}{8}\\\\x=\frac{10±2\sqrt{5 }}{8}\\\\x=\frac{2(±5\sqrt{5) }}{2(4)}$

Cancel the common terms:

$x=\frac{5±\sqrt{5} }{4}$

5 0

3 years ago

Which set of numbers is INFINITE?

Dennis_Churaev [7]

Im pe\retty sure its D because they can be multiplied byt he sam enumber many tines

7 0

4 years ago

If triangle DEF has a 90° angle at vertex E, which statements are true? Check all that apply.

jeka57 [31]

There are two statements that are true: the angle at vertx D is acute and triangle DEF is a right triangle.

3 0

3 years ago

Which linear inequality is represented by the graph?

Ksju [112]

Tthe inequality that describes this graph is y ≤ 1/3x - 4/3

<h3>How to determine the linear inequality represented by the graph?</h3>

The graph that completes the question is added as an attachment

From the attached graph, we have the following points

(0, -1.3) and (3, -0.3)

The slope is calculated as:

m = (y2 - y1)/(x2 - x1)

Substitute the known values in the above equation

m = (-0.3 + 1.3)/(3 - 0)

Evaluate

m = 1/3

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 1/3(x - 0) - 1.3

Evaluate

y = 1/3x - 4/3

From the graph, we have the following highlights:

The line of the graph is a closed line
The upper part is shaded

The first highlight above implies, the inequality can be any of ≥ and ≤

While the second highlight above implies, the inequality is ≤

Hence, the inequality that describes this graph is y ≤ 1/3x - 4/3