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Chapter
10
Test A
You randomly choose one shape from the bag. (a) Find the number of ways the event can occur.
(b) Find the favorable outcomes of the event.

Choosing a square
Choosing a circle
Not choosing a star

Chapter $\newline$ $10$ $\newline$ Test A $\newline$ You randomly choose one shape from the bag. (a) Find the number of ways the event can occur. $\newline$ (b) Find the favorable outcomes of the event. $\newline$ $1$ . Choosing a square $\newline$ $2$ . Choosing a circle $\newline$ $3$ . Not choosing a star

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Find the magnitude of a three-dimensional vector

Full solution

Q. Chapter

\newline

10

\newline

Test A

\newline

You randomly choose one shape from the bag. (a) Find the number of ways the event can occur.

\newline

(b) Find the favorable outcomes of the event.

\newline

1

. Choosing a square

\newline

2

. Choosing a circle

\newline

3

. Not choosing a star

Count Total Shapes: (a) Count total shapes in the bag to find the total number of ways to choose one shape. $\newline$ Assume there are ' extit{t}' total shapes in the bag.
Count Squares: (b $1$ ) Count the number of squares in the bag to find the favorable outcomes for choosing a square. Assume there are $s$ squares in the bag.
Count Circles: $b^2$ Count the number of circles in the bag to find the favorable outcomes for choosing a circle. Assume there are $c$ circles in the bag.
Count Stars: ( extit{b $3$ }) Count the number of stars in the bag to find the favorable outcomes for not choosing a star. $\newline$ Assume there are ' extit{r}' stars in the bag. $\newline$ Favorable outcomes for not choosing a star = total shapes - number of stars = $t - r$ .
Calculate Probabilities: Calculate the probability for each event. $\newline$ Probability of choosing a square = $\frac{s}{t}$ . $\newline$ Probability of choosing a circle = $\frac{c}{t}$ . $\newline$ Probability of not choosing a star = $\frac{t - r}{t}$ .

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