Question

teks 7.6i: the results of flipping a coin 50 times were 28 heads and 22 tails. what is the experimental probability of flipping tails?

Explanation:

Step1: Recall experimental probability formula

Experimental probability of an event is calculated as the number of times the event occurs divided by the total number of trials. The formula is \( P(\text{event}) = \frac{\text{Number of times event occurs}}{\text{Total number of trials}} \).

Step2: Identify values for tails

For flipping tails, the number of times tails occurred is 22, and the total number of coin flips (trials) is 50.

Step3: Calculate experimental probability

Substitute the values into the formula: \( P(\text{tails}) = \frac{22}{50} \). Simplify this fraction by dividing both numerator and denominator by their greatest common divisor, which is 2. So, \( \frac{22 \div 2}{50 \div 2} = \frac{11}{25} \) or as a decimal, 0.44.

Answer:

The experimental probability of flipping tails is \(\frac{11}{25}\) (or 0.44).