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

1.	A box contains loo 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 no. of possible outcomes = 100 + 200 + 50 = 350 {100 red, 200 yellow & 50 blue} (i) E ⟶ event of getting blue card. No. of favourable outcomes = 50 {50 blue cards} P(E) = 50/350 = 1/7 (ii) E ⟶ event of getting yellow card No. of favourable outcomes = 200 {200 yellow} P(E) = 200/350 = 4/7 Bar E⟶ event of not getting yellow card P(Bar E)=1−P(E) = 1−4/7 = 3/7 (iii) E ⟶ getting neither yellow nor a blue card No. of favourable outcomes = 350 – 200 – 50 = 100 {removing 200 yellow & 50 blue cards} P(E) = 100/350 = 2/7

A box contains loo 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 no. of possible outcomes = 100 + 200 + 50 = 350 {100 red, 200 yellow & 50 blue}

(i) E ⟶ event of getting blue card.

No. of favourable outcomes = 50 {50 blue cards}

P(E) = 50/350 = 1/7

(ii) E ⟶ event of getting yellow card

No. of favourable outcomes = 200 {200 yellow}

P(E) = 200/350 = 4/7

Bar E⟶ event of not getting yellow card

P(Bar E)=1−P(E)

= 1−4/7 = 3/7

(iii) E ⟶ getting neither yellow nor a blue card

No. of favourable outcomes = 350 – 200 – 50 = 100 {removing 200 yellow & 50 blue cards}

P(E) = 100/350 = 2/7

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