A city survey found that 47% of teenagers have a part time job. The same survey found that 78% plan to attend college. If a teenager is chosen at random, what is the probability that the teenager has a part time job and plans to attend college?
The probability that both/all events will occur is found by multiplying the probabilities of the individual events.
.47 * .78 = ?
LUND
To find the probability that a teenager has a part-time job and plans to attend college, we need to multiply the probabilities of each event happening.
The probability of a teenager having a part-time job is given as 47% or 0.47.
The probability of a teenager planning to attend college is given as 78% or 0.78.
Therefore, the probability that a teenager has a part-time job and plans to attend college is:
0.47 x 0.78 = 0.3666 or 36.66% (rounded to 2 decimal places).
So, the probability that a randomly chosen teenager has a part-time job and plans to attend college is approximately 36.66%.
To find the probability that a teenager has a part-time job and plans to attend college, we need to multiply the probabilities of these two events happening.
Given that 47% of teenagers have a part-time job, the probability of a teenager having a part-time job is 47% or 0.47.
Given that 78% of teenagers plan to attend college, the probability of a teenager planning to attend college is 78% or 0.78.
To find the probability of both events occurring, we multiply the two probabilities:
Probability (part-time job and plans to attend college) = Probability (part-time job) × Probability (plans to attend college)
= 0.47 × 0.78
= 0.3666 or 36.66% (rounded to two decimal places)
Therefore, the probability that a teenager chosen at random has a part-time job and plans to attend college is approximately 36.66%.