There are 30 cards, of same size, in a bag on which numbers 1 to 30 ar

1.	There are 30 cards, of same size, in a bag on which numbers 1 to 30 are written. One card is taken out of the bag at random. Find the probability that the number on the selected card is not divisible by 3.
Answer» Total number of possible outcomes, n(S) = 30 Number of favorable outcomes of selecting a card divisible by 3, n(E) = 10 ∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{10}{30}\) = \(\frac{1}{3}\) Number of favorable outcomes of not selecting a card divisible by 3 = 1 – P(E) = 1 - \(\frac{1}{3}\) = \(\frac{2}{3}\)

There are 30 cards, of same size, in a bag on which numbers 1 to 30 are written. One card is taken out of the bag at random. Find the probability that the number on the selected card is not divisible by 3.

Answer»

Total number of possible outcomes, n(S) = 30

Number of favorable outcomes of selecting a card divisible by 3,

n(E) = 10

∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{10}{30}\) = \(\frac{1}{3}\)

Number of favorable outcomes of not selecting a card divisible by 3 = 1 – P(E)

= 1 - \(\frac{1}{3}\) = \(\frac{2}{3}\)

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There are 30 cards, of same size, in a bag on which numbers 1 to 30 are written. One card is taken out of the bag at random. Find the probability that the number on the selected card is not divisible by 3.

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