Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
To determine the experimental probability of landing on tails when Mandy flipped a coin 50 times and observed that it landed on tails 20 times, we follow these steps:
Step 1: Identify the total number of coin flips.
Mandy flipped the coin 50 times. Hence, the total number of coin flips is 50.
Step 2: Identify the number of times the coin landed on tails.
The coin landed on tails 20 times. Therefore, the number of tails is 20.
Step 3: Use the formula for experimental probability.
The formula for experimental probability of an event is given by:
[tex]\[ \text{Experimental Probability} = \frac{\text{Number of successful outcomes}}{\text{Total number of trials}} \][/tex]
Step 4: Substitute the values into the formula.
Here, the number of successful outcomes (tails) is 20, and the total number of trials (coin flips) is 50. Substituting these values into the formula gives:
[tex]\[ \text{Experimental Probability} = \frac{20}{50} \][/tex]
Step 5: Simplify the fraction.
[tex]\[ \frac{20}{50} = \frac{2}{5} \][/tex]
Thus, the experimental probability of landing on tails is:
[tex]\[ \frac{2}{5} \][/tex]
Out of the options provided:
[tex]\(\frac{3}{5}\)[/tex], [tex]\(\frac{2}{5}\)[/tex], and [tex]\(\frac{4}{5}\)[/tex],
the correct answer is:
[tex]\[ \boxed{\frac{2}{5}} \][/tex]
Step 1: Identify the total number of coin flips.
Mandy flipped the coin 50 times. Hence, the total number of coin flips is 50.
Step 2: Identify the number of times the coin landed on tails.
The coin landed on tails 20 times. Therefore, the number of tails is 20.
Step 3: Use the formula for experimental probability.
The formula for experimental probability of an event is given by:
[tex]\[ \text{Experimental Probability} = \frac{\text{Number of successful outcomes}}{\text{Total number of trials}} \][/tex]
Step 4: Substitute the values into the formula.
Here, the number of successful outcomes (tails) is 20, and the total number of trials (coin flips) is 50. Substituting these values into the formula gives:
[tex]\[ \text{Experimental Probability} = \frac{20}{50} \][/tex]
Step 5: Simplify the fraction.
[tex]\[ \frac{20}{50} = \frac{2}{5} \][/tex]
Thus, the experimental probability of landing on tails is:
[tex]\[ \frac{2}{5} \][/tex]
Out of the options provided:
[tex]\(\frac{3}{5}\)[/tex], [tex]\(\frac{2}{5}\)[/tex], and [tex]\(\frac{4}{5}\)[/tex],
the correct answer is:
[tex]\[ \boxed{\frac{2}{5}} \][/tex]
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.