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A bag contains 3 red and 2 blue marbles. A marble is drawn at random. ‘The probability of drawing a black marble is ______. - Mathematics

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Question

A bag contains 3 red and 2 blue marbles. A marble is drawn at random. ‘The probability of drawing a black marble is ______.

Options

  • 0

  • `1/5`

  • `2/5`

  • `3/5`

MCQ
Fill in the Blanks

Solution

A bag contains 3 red and 2 blue marbles. A marble is drawn at random. ‘The probability of drawing a black marble is 0.

Explanation:

Given:

  • The bag contains 3 red marbles.
  • The bag contains 2 blue marbles.
  • There are no black marbles in the bag.

Total number of marbles:

The total number of marbles in the bag is:

3(red) + 2(blue) = 5 marbles

Probability of drawing a black marble:

The probability P of drawing a black marble is given by the ratio of the number of black marbles to the total number of marbles.

Since there are no black marbles in the bag, the number of black marbles is 0.

Thus, the probability P is:

P(black marble) = `"Number of black marbles"/"Total number of marbles"`

= `0/5`

= 0

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