Math, asked by varshakumari123, 2 months ago

28. A box contains 12 red cards, 6 black cards and some white cards. The probability of drawing a white card is
equal to 1/3 of the sum of the probabilities of drawing a red card and a black card. Find the number of white card. explain this question​

Answers

Answered by sandeep123444
0

Answer:

sorry I don't know

Answered by RvChaudharY50
15

Solution :-

Let us assume that, the box contains x number of white cards .

so,

→ Total number of cards in the box = 12 + 6 + x = (18 + x)

A/q,

→ Probability of drawing a white card = (1/3)(Probability of drawing a red card + Probability of drawing a black card)

→ x / (18 + x) = (1/3)[{12/(18 + x)} + {6 / (18 + x)}]

→ x / (18 + x) = (1/3)[(12 + 6) / (18 + x)

→ x / (18 + x) = (1/3) * (18 / 18 + x)

→ x / (18 + x) = 6 / (18 + x)

x = 6 (Ans.)

Hence, the number of white cards are 6 .

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