Question

formula 2 points
if you apply for a job with globo corp, there is a 80% chance that you will get an interview. if you get an interview, there is a 49% chance that you will get the job. if you apply for
a job with globo corp, what is the probability that you will get the job?
express your answer as a decimal, rounded to the nearest hundredth.
answer
0.39
formula 2 points
a bag contains 10 red marbles, 10 blue marbles, and 5 yellow marbles. two marbles are selected, one at a time, without replacement. find the probability that the first marble is
blue and the second marble is red.

Explanation:

Step1: Calculate the total number of marbles

The total number of marbles is \(10 + 10+5=25\) marbles.

Step2: Calculate the probability of the first marble being blue

The probability that the first marble is blue is \(P(\text{first - blue})=\frac{10}{25}\)

Step3: Calculate the number of marbles left after the first draw

After drawing a blue marble (without replacement), there are \(25 - 1=24\) marbles left.

Step4: Calculate the probability of the second marble being red

The number of red marbles is still \(10\), so \(P(\text{second - red})=\frac{10}{24}\)

Step5: Calculate the combined probability

Using the multiplication rule for dependent events \(P = P(\text{first - blue})\times P(\text{second - red})\)

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Answer:

\(0.17\)