you and your partner are about to toss 2 coins 100 times. Predict about how many times the outcome woukd be.
a. heads-heads
b. heads-tails
c. tails-heads
d. tails-tails
- My answer is 25% for each toss.
you need to EXPLAIN your answer.
HELP HELP HELP ME!
Each head is probabality 1/2, each tail is 1/2
So what ever probability of the two combinations, it is 1/2 * 1/2 or 1/4 th.
To predict the outcome of tossing two coins 100 times, you need to understand the concept of probability. Each coin has two possible outcomes, either heads or tails. When you toss two coins simultaneously, the total possible outcomes are the combinations of the possible outcomes for each individual coin.
For each coin, there are two possibilities (heads or tails), so the total number of possible outcomes for tossing two coins is 2 multiplied by 2, which equals 4. These four possible outcomes are:
a. heads-heads
b. heads-tails
c. tails-heads
d. tails-tails
Since each of these four outcomes is equally likely, we can assume that the chance of obtaining any individual outcome is 1 in 4. To find the expected number of times each outcome would occur in 100 tosses, we can calculate 25% of 100 for each outcome.
a. heads-heads: 25% of 100 = 25 times
b. heads-tails: 25% of 100 = 25 times
c. tails-heads: 25% of 100 = 25 times
d. tails-tails: 25% of 100 = 25 times
Therefore, based on an assumption of equally likely outcomes, each outcome (heads-heads, heads-tails, tails-heads, tails-tails) is expected to occur approximately 25 times in 100 tosses.
Please note that in practice, the actual outcomes may vary from the expected values due to random chance.