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Question

A student randomly picks a day from the days of a week. What is the probability that the selected day starts with the letter 'W' or 'S' ?

The correct answer is
3/7

To find the probability that the selected day starts with the letter 'W' or 'S', we first need to identify the days of the week and check which of them meet the criteria.

There are a total of 7 days in a week:

  • Monday
  • Tuesday
  • Wednesday
  • Thursday
  • Friday
  • Saturday
  • Sunday

Now, we list out the days starting with 'W' or 'S':

  • Wednesday (Starts with 'W')
  • Saturday (Starts with 'S')
  • Sunday (Starts with 'S')

There are 3 days that start with 'W' or 'S'. Thus, the number of favorable outcomes is 3.

The total number of possible outcomes (days in a week) is 7.

The probability is given by the ratio of the number of favorable outcomes to the total number of possible outcomes:

\(\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{3}{7}\)

Therefore, the probability that the selected day starts with the letter 'W' or 'S' is \(\frac{3}{7}\).

This matches with the correct answer option, which is 3/7.

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Important Questions from Probability

  1. Two distinct natural numbers from 1 to 9 are picked at random. What is the probability that their product has 1 in its unit place?

  2. Two dice are thrown. What is the probability that difference of numbers on them is 2 or 3 ?

  3. Suppose that there is a chance for a newly constructed building to collapse, whether the design is faulty or not. The chance that the design is faulty is 10%. The chance that the building collapses is 95% if the design is faulty, otherwise it is 45%. If it is seen that the building has collapsed, then what is the probability that it is due to faulty design?

  4. What is the probability that boys and girls sit alternatively?

  5. What is the probability that P and Q take the two end positions?

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