Hugo has a job interview at Telus. He has a 56% of waking up late on the morning of the interview. When he wakes up late he has a 33% chance of missing his bus to take him to the interview. At this rate he will be late and he has a 27% chance of actually obtaining the job. What is the probability that Hugo will be working at Telus?
To calculate the probability that Hugo will be working at Telus, we need to consider the probabilities of the different events happening.
1. The probability of Hugo waking up late: 56% (0.56).
2. The probability of Hugo missing his bus, given that he woke up late: 33% (0.33).
3. The probability of Hugo obtaining the job, given that he was late: 27% (0.27).
To find the overall probability, we need to multiply these probabilities together:
P(Hugo being late and obtaining the job) = P(waking up late) * P(missing the bus | waking up late) * P(obtaining the job | being late)
P(Hugo being late and obtaining the job) = 0.56 * 0.33 * 0.27
Calculating this, we get:
P(Hugo being late and obtaining the job) ≈ 0.0495 or 4.95%
Therefore, the probability that Hugo will be working at Telus is approximately 4.95%.