Question

Each of the letters in the word "algebra" are written on individual slips of paper and placed in a box. Rajiv chooses a slip of paper from the box. What is the probability that Rajiv chooses a vowel or the letter "r"?

Answer 1

The probability that Rajiv chooses a slip of paper whit a vowel or the letter "r" is,
`P=(4)/(7)=0.571`

Explanation:

Hi

First of all, we are going to calculate the probability of choosing a slip of paper with a vowel, as we have a total number of events is 7 ("algebra" word have 7 letters ), and 3 vowels, so
`P(v)=(3)/(7) =0.428`

The second step is to calculate the probability of choosing a slip of paper with the letter "r", as we have a total number of events is 7, and only one "r", so
`P(r)=(1)/(7) =0.142`

Finally, as the question is: What is the probability that Rajiv chooses a vowel or the letter "r"? And the word "or" is underlined because here is essential the fact that means the sum of both probabilities, therefore
`P=P(v)+P(r)=(3)/(7)+(1)/(7)=(4)/(7) =0.571`

Answer 2

4/7=0.57

Explanation:

We have 7 papers in the Box.

3 o those papers have vowels (2 a and one e) and one r

The probability of taking a vowel or the letter "r" is

P=(3+1)/7=4/7=0.57