After many​ studies, a researcher finds that the probability that a word recognition app correctly interprets a handwritten word is three fifths

Question

. Which statement is​ true?
Question content area bottom
Part 1
Choose the correct answer below.
A.
It is unlikely that the handwritten word will be correctly interpreted.
B.
It is likely that the handwritten word will be correctly interpreted.
C.
It is impossible that the handwritten word will be correctly interpreted.
D.
It is certain that the handwritten word will be correctly interpreted.

Answer 1

To analyze the situation described, we know that the probability of the word recognition app correctly interpreting a handwritten word is \( \frac{3}{5} \) or 0.6. In probability terms, a probability of 0.6 indicates that there is a greater than 50% chance that the event will occur.

Given this context, let's evaluate the options:

A. It is unlikely that the handwritten word will be correctly interpreted.
(This statement is false because a probability of 0.6 indicates it is more likely than unlikely.)

B. It is likely that the handwritten word will be correctly interpreted.
(This statement is true because a probability of 0.6 indicates a likelihood.)

C. It is impossible that the handwritten word will be correctly interpreted.
(This statement is false since a probability of 0.6 means it is possible.)

D. It is certain that the handwritten word will be correctly interpreted.
(This statement is false because a probability less than 1 means it is not certain.)

The correct answer is:
B. It is likely that the handwritten word will be correctly interpreted.