Answer :
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]
