The following question has three statements. Study the question and the statements and decide which of the statement(s) is necessary to answer the question. In a box containing a total of 100 balls of colors, red, blue, green and yellow, find the number of blue balls. I) The probability of picking either a red or green ball is 13/20. II) The probability of picking either a blue or yellow ball is 7/20. III) The probability of picking a yellow ball is 3/20.?

I and either II or III
II and either I or III
III and either I or II
Any two
All three

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 3 : III and either I or II

Considering statement I,

P(red or green) = P(red) + P(green) = 13/20

Considering statement II,

P(blue or yellow) = P(blue) + P(yellow) = 7/20

Considering statement III,

P(yellow) = 3/20

Considering statements I and III,

P(blue) + P(red) + P(green) + P(yellow) = 1

⇒ P(blue) = 1 - 13/20 - 3/20 = 4/20 = 1/5

Considering statements II and III,

P(blue) + P(yellow) = 7/20

⇒ P(blue) = 7/20 - 3/20 = 4/20 = 1/5

∴ The question can be answered using statement III and either statement I or II.

5 views Answered 2022-09-04 04:29

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