Answer :
To find the best prediction for the number of tails when the coin is tossed, we use the concept of expected value. Here are the steps:
1. We know that Kimbo tosses the coin a total of
[tex]$$N = 350$$[/tex]
times.
2. For a fair coin, the probability of getting tails on any single toss is
[tex]$$p = 0.5.$$[/tex]
3. The expected number of tails, which is the best prediction, is calculated by multiplying the number of tosses by the probability of tails:
[tex]$$\text{Expected Tails} = N \times p = 350 \times 0.5 = 175.$$[/tex]
Thus, the best prediction for the number of times the coin will land on tails is exactly
[tex]$$175.$$[/tex]
Therefore, the correct answer is:
A. Exactly 175 times.
1. We know that Kimbo tosses the coin a total of
[tex]$$N = 350$$[/tex]
times.
2. For a fair coin, the probability of getting tails on any single toss is
[tex]$$p = 0.5.$$[/tex]
3. The expected number of tails, which is the best prediction, is calculated by multiplying the number of tosses by the probability of tails:
[tex]$$\text{Expected Tails} = N \times p = 350 \times 0.5 = 175.$$[/tex]
Thus, the best prediction for the number of times the coin will land on tails is exactly
[tex]$$175.$$[/tex]
Therefore, the correct answer is:
A. Exactly 175 times.
