Mathematics, 24.07.2019 16:00, thegoat3180

Astate lottery involves the random selection of six different numbers between 1 and 25. if you select one six number combination, what is the probability that it will be the winning combination? a.1/720 b.1/127,512,000 c.1/177,100 d.1/244,140,625

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answered: gaby8282

The probability that a six number combination selected is the winning combination $\boxed{\frac{1}{{127512000}}}$ .

Further Explanation:

Probability can be defined as the ratio of favorable number of outcomes to the total number of outcomes.

Given:

There are numbers from one to twenty five

Concept used:

The probability $P\left( E \right)$ of any event can be calculated as,

$P\left( E \right) = \dfrac{{n\left( E \right)}}{{n\left( S \right)}}$

Here, $n\left( E \right)$ is the total number of elements in event and $n\left( S \right)$ is the number of element in sample space of an experiment.

Calculation:

The probability that the first digit of lottery number is same as picked can be calculated as,

$P\left( 1 \right) = \dfrac{1}{{25}}$

The probability that the second digit of lottery number is same as picked can be calculated as,

$P\left( 2 \right) = \dfrac{1}{{24}}$

The probability that the third digit of lottery number is same as picked can be calculated as,

$P\left( 3 \right) = \dfrac{1}{{23}}$

The probability that the fourth digit of lottery number is same as picked can be calculated as,

$P\left( 4 \right) = \dfrac{1}{{22}}$

The probability that the fifth digit of lottery number is same as picked can be calculated as,

$P\left( 5 \right) = \dfrac{1}{{21}}$

The probability that the sixth digit of lottery number is same as picked can be calculated as,

$P\left( 6 \right) = \dfrac{1}{{20}}$

The probability that the all digit of lottery number is same as picked can be calculated as,

$\begin{aligned}P &= \frac{1}{{25}} \times \frac{1}{{24}} \times \frac{1}{{23}} \times \frac{1}{{22}} \times \frac{1}{{21}} \times \frac{1}{{20}} \\ &= \frac{1}{{127512000}} \\ \end{gathered}$

The probability that a six number combination selected is the winning combination $\boxed{\frac{1}{{127512000}}}$ .

Hence, $\boxed{{\text{Option b}}}$ is correct.

Learn more:

1. Learn more about unit conversion

2. Learn more about non-collinear

3. Learn more about inverse of function

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability, outcome, total number of outcomes, ratio, favorable number of outcomes, lottery, digit, number, winning, combination, select, six numbers, randomly select.

answered: Guest

y=mx+b

step-by-step explanation:

m slope, b y-intercept

answered: Guest

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring). so find the distance between (1,2) and (4,2). that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3. it is a regular polygon which means all sides are congruent. you have 6 sides (hexa) so multiply 6 by 3 to receive 18.