Among
the game show contestants, 29 were nervous before going on TV and 11 felt relax. Find the probability that a randomly selected contestant felt relaxed.
The probability that a randomly selected contestant felt relaxed can be found by dividing the number of contestants who felt relaxed (11) by the total number of contestants.
The total number of contestants is the sum of the number of contestants who felt nervous (29) and the number of contestants who felt relaxed (11).
So, the probability that a randomly selected contestant felt relaxed is:
P(relaxed) = number of relaxed contestants / total number of contestants = 11 / (29 + 11) = 11 / 40
Therefore, the probability that a randomly selected contestant felt relaxed is 11/40.
To find the probability that a randomly selected contestant felt relaxed, we need to divide the number of contestants who felt relaxed by the total number of contestants.
Number of contestants who felt relaxed = 11
Total number of contestants = 29 + 11 = 40
Probability of selecting a contestant who felt relaxed = Number of contestants who felt relaxed / Total number of contestants
= 11 / 40
= 0.275 or 27.5% (rounded to 1 decimal place)
Therefore, the probability of selecting a randomly selected contestant who felt relaxed is 27.5%.
To find the probability of a randomly selected contestant feeling relaxed, we need to divide the number of contestants who felt relaxed by the total number of contestants. In this case, we are given that 29 contestants were nervous and 11 contestants felt relaxed.
The total number of contestants is the sum of those who felt nervous and those who felt relaxed:
Total number of contestants = Number of nervous contestants + Number of relaxed contestants
Total number of contestants = 29 + 11
Total number of contestants = 40
Now we can calculate the probability of a randomly selected contestant feeling relaxed:
Probability of feeling relaxed = Number of relaxed contestants / Total number of contestants
Probability of feeling relaxed = 11 / 40
Therefore, the probability that a randomly selected contestant felt relaxed is 11/40 or 0.275 (rounded to three decimal places) or 27.5% (rounded to the nearest percent).