How many times would you expect to role a 2 on a 6 sided die in 50 trials

1 answer:

3 0

The six sided die has 6 sides (with numbers 1,2,3,4,5 and 6). That's why the probability to roll number 2 in one trial is equal to $\frac{1}{6}$ .If you'll dol 50 trials, then you can expect $\frac{50}{6}= \frac{25}{3}$ times to roll number 2 (8 or 9 times).

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You’re baking a circular cake for a party. Your cake can be any size you want. What will the radius of your cake be and how many

REY [17]

What will the radius of your cake be?

This is a problem of geometry. Given that the cake is circular, the greater the cake the greater the radius of it. So, as shown in the figure 1, the radius will be the distance from the center to any extreme point of the circle.

How many slices will you be able to cut?

The total area of a circle is given by:

$A= \pi r^{2}$

We need to fin how many slices will be cut, so let's calculate the area of the circular sector which can be obtained simply applying rule of three, so:

$A_{cs}= \pi r^{2}( \frac{\theta}{2\pi})= \frac{r^{2}\theta}{2}$

Let's name n the number of slices, if we divide the total area by n this result, each area must equal, then:

$\frac{\pi r^{2}}{n}=\frac{r^{2}\theta}{n}$

Finally, we will be able to cut:

$n= \frac{2\pi}{\theta}$ Slices