Math Problem Statement

Marissa conducted an experiment where she pulled a number out of a bag, then flipped a coin. The bag contained card with the number 1 to 5 written on them. Marissa recorded that out of 60 trials, she pulled the number 2, then flipped tails 15% of the time.

How many times did Marissa pull the number 2, then flip tails?

__________ times

Solution

To determine how many times Marissa pulled the number 2 and then flipped tails, we use the given percentage.

We know that:

  • There were 60 total trials
  • The event of pulling 2 and flipping tails happened 15% of the time

Step 1: Compute the number of times this event occurred

Total occurrences=15%×60\text{Total occurrences} = 15\% \times 60

=15100×60= \frac{15}{100} \times 60

=0.15×60= 0.15 \times 60

=9= 9

Thus, Marissa pulled the number 2, then flipped tails 9 times.


Do you want me to break it down further or provide alternative methods?

Here are five related questions to expand on this concept:

  1. If Marissa pulled the number 2 25% of the time, how many times did she pull it?
  2. What is the probability of pulling any one specific number from the bag?
  3. If Marissa flipped heads 40% of the time when pulling a 3, how many times did that occur?
  4. If she repeated the experiment with 100 trials, how many times would she expect to pull 2 and flip tails?
  5. What is the probability of pulling a 4 and flipping tails if we assume fair conditions?

Tip: To find percentages of a total, always multiply the percentage (as a decimal) by the total count!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Probability
Percentages
Basic Arithmetic

Formulas

Total occurrences = (percentage as decimal) × total trials

Theorems

-

Suitable Grade Level

Grades 6-8