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Galina-37 [17]
3 years ago
10

There are 1200 students at Sophie’s school. One student’s name will be drawn at random to win a new bike. What is the probabilit

y that Sophie will win the bike?
Describe the sample space for this problem.



Which outcome (or outcomes) of the sample space compose the event?
Mathematics
2 answers:
yawa3891 [41]3 years ago
8 0

Describe the sample space for this problem: 1200 students at a certain school, all with equal probability of being selected on a random draw.


Which outcome (or outcomes) of the sample space compose the event?

Sophie wins the bike. The chances that that will happen are 1/1200, or 0.00083...

Elenna [48]3 years ago
8 0

Answer: 1. Describe the sample space for this problem.

The sample space for this problem is {1200}

2. Which outcome (or outcomes) of the sample space composes the event?

The outcome of the sample space is that Sophie will win the bike.

3. Express the probability of Sophie winning the bike as a fraction and as a decimal.

The probability of Sophie winning the bike is 1/1200 or 0.000833333… in decimal form.

4. Describe the probability Sophie winning the bike as impossible, unlikely, neither likely nor unlikely, likely or certain. Justify your response.

The probability of Sophie winning the bike is impossible since her chance of winning is 0.08 percent.

Step-by-step explanation: Ik you asked for only two of the questions but I went ahead and answered them all for you. Hope it helps

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grandymaker [24]

Answer:

\begin{center}\begin{tabular}{ c c } n & T\\ 0 & 20 \\  1 & 25 \\   2 & 30 \\   3 & 35 \\   4 & 40 \\  \end{tabular}\end{center}

Please refer to graph attached.

Step-by-step explanation:

Given that mass of each candy in the box is 5 gm.

Mass of empty box is 20 gm.

Total grams, T = 5n + 20

To find: A table of values and graph of the relation.

Solution:

The given equation is nothing but a Linear equation in two variables.

Let us try to create a table of values by putting some values of 'n' and then finding the values for Total grams 'T'.

Let us put n = 0 \Rightarrow T =5\times 0 +20 = 20

Let us put n = 1 \Rightarrow T =5\times 1 +20 = 25

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Let us put n = 3 \Rightarrow T =5\times 3 +20 = 35

Let us put n = 4 \Rightarrow T =5\times 4 +20 = 40

So, the table of values becomes:

\begin{center}\begin{tabular}{ c c } n & T\\ 0 & 20 \\  1 & 25 \\   2 & 30 \\   3 & 35 \\   4 & 40 \\  \end{tabular}\end{center}

We can see that the value of T is increasing with increasing values of 'n'.

Please refer to the attached image for the graph of given equation.

As it is a linear equation in two variables, it will be a straight line. It will be an increasing positive slope graph.

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