Probability and Conditional Probability MCQ Quiz in தமிழ் - Objective Question with Answer for Probability and Conditional Probability - இலவச PDF ஐப் பதிவிறக்கவும்

The probability of winning is given as \(\frac{3}{150}\). Therefore, the probability of not winning is \(1 - \frac{3}{150} = \frac{147}{150} = \frac{49}{50}\). Thus, the correct answer is \(\frac{49}{50}\). 

The total number of light bulbs is 50, and the number of defective bulbs is 8. Therefore, the number of non-defective bulbs is \(50 - 8 = 42\). The probability that a randomly selected bulb is not defective is \(\frac{42}{50} = \frac{21}{25}\). The correct answer is \(\frac{21}{25}\), option 1 is the  correct answer . 

The probability of selecting a student who is not in the chess club is the complement of selecting one who is in the club. There are 50 students in the chess club, so 150 are not. The probability is \(\frac{150}{200} = \frac{3}{4}\). Hence, option 2 is correct. 

To find the probability that an employee uses public transportation, we first note that 15 out of 75 employees use it. The probability is calculated by dividing the number of favorable outcomes by the total number of outcomes. Therefore, the probability is \(\frac{15}{75} = \frac{1}{5}\). Thus, the correct answer is \(\frac{1}{5}\). The other options result from incorrect simplifications or arithmetic errors.

If 70% of the students are male, then 30% are female, since the total must be 100%. Calculate 30% of 30 to find the number of females: \(0.30 \times 30 = 9\). Hence, there are 9 female students, which is option 3.

The probability of rolling a 6 is \(\frac{1}{6}\). The probability of the complement event (not rolling a 6) is \(1 - \frac{1}{6} = \frac{5}{6}\). Therefore, the probability of not rolling a 6 is \(\frac{5}{6}\), which is option 4.

There are a total of \(20 + 15 + 5 = 40\) marbles. The probability of drawing a non-blue marble is the number of non-blue marbles divided by the total number of marbles. There are \(15 + 5 = 20\) non-blue marbles. Thus, the probability is \(\frac{20}{40} = \frac{1}{2}\). Option 3 is correct answer.

The total number of balls is \(10 + 5 + 3 = 18\).

The number of blue or yellow balls is \(5 + 3 = 8\).

Thus, the probability of drawing a blue or yellow ball is \(\frac{8}{18} = \frac{4}{9}\).

However, to match the options, we present \(\frac{8}{18}\) directly, which simplifies to \(\frac{4}{9}\), but the unsimplified version corresponds to option 2.

If 60% of the respondents preferred coffee, then 40% preferred tea, as the total must add up to 100%. To find the number of people who preferred tea, calculate 40% of 150. \(0.40 \times 150 = 60\). Therefore, 60 people preferred tea. However, correcting the solution, we note that the correct calculation should be \(150 - 90 = 60\), which confirms 60 preferred tea.

To find the probability that a randomly chosen student is on the soccer team, divide the number of soccer team members by the total number of students. There are 18 soccer team members out of 40 students, so the probability is \( \frac{18}{40} \), which simplifies to \( \frac{9}{20} \). Option 1 is correct as it accurately represents this calculation. Option 2 gives the probability of selecting a student not on the soccer team. Option 3 is incorrect, as it represents a very unlikely event, and option 4 represents certainty, which is not applicable here.