Final answer:
The expected results of coin tosses follow theoretical probability, with 50 heads and 50 tails in 100 tosses being the average outcome. With two coins tossed 100 times, the expected occurrences are about 25 times for two heads, 25 times for two tails, and 50 times for one head and one tail. The percent of occurrence is calculated by the actual occurrences divided by the total tosses and multiplied by 100.
Step-by-step explanation:
In a coin toss, the theoretical probability of getting heads or tails is always 50%. The expected number of heads or tails in 100 coin tosses is therefore 50. When the experiment is repeated, for 200 coin tosses, we would also expect 100 heads and 100 tails. However, this represents an average or expected value; the actual results may vary.
With two coins tossed 100 times, each outcome (two heads, two tails, one head and one tail) has a probability of 1/4, 1/4, and 1/2 respectively, because there are four possible outcomes of two coin tosses (HH, HT, TH, TT) and the coins are independent. Hence, you would expect to get roughly 25 instances of two heads, 25 instances of two tails, and 50 instances of one head and one tail.
The percent of occurrence for each combination when two coins are tossed 100 times is calculated by dividing the number of times an event occurs by the total number of tosses (100) and multiplying by 100. So for two heads or two tails the percent occurrence would be approximately 25%, and for one head and one tail it would be approximately 50%.