At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
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 choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.