# 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 Neither Yellow Nor a Blue Card. - Mathematics

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 neither yellow nor a blue card.

#### Solution

Total no. of possible outcomes = 100 + 200 + 50 = 350 {100 red, 200 yellow & 50 blue}

E ⟶ getting neither yellow nor a blue card

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

Probability ="No.of favorable outcomes"/"Total no.of possible outcomes"

P(E) = 100/350 = 2/7

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 16 Probability
Exercise 16.1 | Q 43.3 | Page 23