A box contains 100 red cards, 200 yellow cards and 50 blue cards. If a

1.	A box contains 100 red cards, 200 yellow cards and 50 blue cards. If a card is drawn at random from the box, then find the probability that it will be (i) a blue card (ii) not a yellow card (iii) neither yellow nor a blue card
Answer» Total number of possible outcomes, n(S) = 100 + 200 + 50 = 350 (i) Number of favorable outcomes, n(E) = 50 ∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{1}{7}\) (ii) Number of favorable outcomes, n(E) = 100 + 50 = 150 ∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{3}{7}\) (iii) Number of favorable outcomes, n(E) = 100 ∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{2}{7}\)

A box contains 100 red cards, 200 yellow cards and 50 blue cards. If a card is drawn at random from the box, then find the probability that it will be (i) a blue card (ii) not a yellow card (iii) neither yellow nor a blue card

Answer»

Total number of possible outcomes, n(S) = 100 + 200 + 50 = 350

(i) Number of favorable outcomes,

n(E) = 50

∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{1}{7}\)

(ii) Number of favorable outcomes, n(E) = 100 + 50 = 150

∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{3}{7}\)

(iii) Number of favorable outcomes,

n(E) = 100

∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{2}{7}\)

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A box contains 100 red cards, 200 yellow cards and 50 blue cards. If a card is drawn at random from the box, then find the probability that it will be (i) a blue card (ii) not a yellow card (iii) neither yellow nor a blue card

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