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2 years ago

Select the correct answer. if you roll a fair die twice, what is the probability of getting an even number at least once?

Mathematics

1 answer:

Nata [24]2 years ago

3 0

The probability of getting an even number at least once will be 1/4.

What is probability called?

The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

It is given that a fair dice is rolled twice. The probability of getting an even number at least once will be calculated as:-

Number of favorable outcomes = { 2 , 4 , 6 } = 3

It is rolled two times total favorable outcomes = 3 x 3 = 9

Number of samples = 6 x 6 = 36

The probability will be calculated as:-

Probability = Number of favorable outcomes / Number of sample

Probability = 9 / 36

Probability = 1 / 4

Therefore, the probability of getting an even number at least once will be 1/4.

Learn more about Probability

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A fruit stand sells apples, peaches and tomatoes. Today, they sold 4 apples for every 5 peaches. They sold 2 peaches for every 3

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He sold 32 apples, 40 peaches and 60 apples.

Step-by-step explanation:

We are given that

4 apples are sold every 5 peaches and

3 tomatoes are sold every 2 peaches.

i.e. the ratio is apples: peaches = 4 : 5 ...... (1)

and the ratio peaches: tomatoes = 2 : 3 ...... (2)

Peaches are the common link here in both the ratio terms.

Let us make the peaches value in both the ratio as 10 to make it equal in both the ratio terms.

Multiply (1) by 2 and (2) by 5:

The ratio becomes;

apples:peaches = 8:10

peaches: tomatoes = 10:15

In other words, the ratio becomes:

apples:peaches:tomatoes = 8:10:15

Let the number of apples = $8x$

Let the number of peaches = $10x\\$

Let the number of tomatoes = $15x$

We are given that total fruits are = 132

$\Rightarrow 8x+10x+15x = 132\\\Rightarrow 33x = 132\\\Rightarrow x =4\\$

So, number of apples sold = $8 \times 4 = 32$

Number of peaches sold = $10 \times 4 = 40$

Number of tomatoes sold = $15 \times 4 = 60$

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