In: Statistics and Probability
1. The following table shows the frequency of outcomes when two distinguishable coins were tossed 6,800 times and the uppermost faces were observed. HINT [See Example 2.]
Outcome | HH | HT | TH | TT |
---|---|---|---|---|
Frequency | 1,800 | 1,650 | 1,900 | 1,450 |
What is the relative frequency that heads comes up at least once? (Round your answer to four decimal places.)
2. The following table shows the frequency of outcomes when two distinguishable coins were tossed 5,200 times and the uppermost faces were observed. HINT [See Example 2.]
Outcome | HH | HT | TH | TT |
---|---|---|---|---|
Frequency | 1,400 | 1,250 | 1,500 | 1,050 |
What is the relative frequency that the first coin lands with heads up? (Round your answer to four decimal places.)
1) P(heads comes up at least once) = P(HH) + P(HT) + P(TH)
= 1800/6800 + 1650/6800 + 1900/6800
= 0.7868
2) P(first coin lands with heads up) = P(HH) + P(HT)
= 1800/6800 + 1650/6800
= 0.5074