Question

Which of the following is an overlapping event with a probability of fifty percent?

A spinner is divided into eight equal sections. Four are shaded red and four are shaded blue with each color alternating (red, then blue, then red…). The red sections are labeled B, F, M, and T. The blue sections are labeled A, E, O, and U.

Answer 1

Spinning a vowel or blue.

Spinning the letter A or the letter E.

Spinning red or the letter U.

Spinning the letter F or blue.

Answer 2

First one bro!
Because [I THINK] it has equal chances of occuring as the red ones!

Answer 3

There are 4 vowels just like four consonants [50%]
And also there are 4 blues out of 8 colors! [50%]

Answer 4

Here is the 8 part spinner
with alternating colors
Makes sense so far?

Answer 5

Now let's go through each probability
and see which one comes out to 50 percent

Answer 6

Since we use the word "or" that means we add the probabilities
1) Spinning a vowel or blue.
Probability = # of desired outcomes/total possibilities
How many vowels do we have on the spinner?
We have 4, right. So its going to be 4/8.

Answer 7

Now, what is the probability of getting a blue?
__ / 8

Answer 8

its going to be 4/8 correct?
But notice that blue spots are always vowels
that means we do not add the probabilities in this case
so we just stay with 4/8
makes sense?

Answer 9

The probability of blue or vowel is therefore 4/8
that is 50% !