KnowledgeBoat Logo
|

Mathematics

Choose the incorrect statement.
If a card is picked at random from cards numbered 1 to 16, then:

  1. the probability that the drawn card bears a number which is a factor of 16 is (14)\Big(\dfrac{1}{4}\Big)

  2. the probability that the drawn card bears an odd composite number is (18)\Big(\dfrac{1}{8}\Big)

  3. the probability that the drawn card bears a number which is a multiple of both 2 and 3 is (18)\Big(\dfrac{1}{8}\Big)

  4. the probability that the drawn card bears a number which is both a perfect square and a perfect cube is (116)\Big(\dfrac{1}{16}\Big)

Probability

1 Like

Answer

S = {1, 2, 3, ….., 16}, where the total number of outcomes is 16.

Let E be the event of getting a card with number that divide 16 perfectly, then

E = {1, 2, 4, 8, 16}

The number of favorable outcomes to the event E = 5

∴ P(E) = Number of favorable outcomesTotal number of outcomes=516\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \dfrac{5}{16}

The probability that the drawn card bears a number which is a factor of 16 is (14)\Big(\dfrac{1}{4}\Big) is incorrect.

Hence, option 1 is the correct option.

Answered By

1 Like


Related Questions