There were 25 students who completed a survey. There were 11 boys and 14 girls. One survey was picked at random. To the nearest hundredth, what is the probability it was completed by a girl?
Convert 14/25 to a decimal.
You should take these steps:
Step 1: Divide
14/25= 0.56
Step 2 : Convert decimal into percent
0.56=56%
To find the probability, we need to divide the number of favorable outcomes (surveys completed by girls) by the total number of possible outcomes (total number of surveys completed by both boys and girls).
Given that there are 11 boys and 14 girls who completed the survey, the total number of possible outcomes is 11 + 14 = 25.
The number of favorable outcomes is the number of surveys completed by girls, which is 14.
Therefore, the probability it was completed by a girl is:
P(Girl) = favorable outcomes / total outcomes
P(Girl) = 14/25
P(Girl) ≈ 0.56
To the nearest hundredth, the probability it was completed by a girl is approximately 0.56.
To find the probability of an event happening, we divide the number of favorable outcomes by the total number of possible outcomes. In this case, the favorable outcome is a survey completed by a girl, and the total number of possible outcomes is the total number of surveys completed, which is 25.
To calculate the probability, we need to determine the number of surveys completed by girls. From the given information, we know that there were a total of 14 girls who completed the survey.
So, the probability of picking a survey completed by a girl can be calculated as follows:
Probability = Number of surveys completed by girls / Total number of surveys
Probability = 14 / 25
To the nearest hundredth, the probability is:
Probability ≈ 0.56
Therefore, the probability it was completed by a girl is approximately 0.56.