What is the approximate circumference of a circle with a radius of 30 inches? Use π ≈ 3.14.
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Given:
Three coins are tossed.
Let the event H represents all Heads and the event K represents at least one Heads.
To find:
a. The probability that the outcome is all heads if at least one coin shows a heads.
b. P(K) = ?
c. P(H∩K) = ?
Solution:
If three coins are tossed, then the total possible outcomes are:
{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
Total outcomes = 8
Possible outcomes for all Heads = 1
Possible outcomes for at least one Heads = 7
Let the following events:
H = all Heads
K = at least one Heads.
Then,
Now,
a. The probability that the outcome is all heads if at least one coin shows a heads is:
Therefore, the probability that the outcome is all heads if at least one coin shows a heads is .
b.
c.