Math, asked by rajat2269, 9 months ago

Please help immediately. ​

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Answers

Answered by pitambarmicro74
5

Answer:

Hey mate! here is your answer.

Step-by-step explanation:

Number of Red balls = 4

Number of Blue balls = 6

Number of Pink balls = 8

Total number of balls = 4 + 6 + 8 = 18

Required probability

=4/18×11/20+6/18×11/20=11/20[4/18+6/18]=11/20×10/18=11/36.So your correct option is E .

Hope it's helpful.

Please mark me as brainlist.

Answered by BrainlyPopularman
3

QUESTION :

▪︎ A bag contains 4 red balls, 6 blue balls and 8 pink balls. 1 ball is drawn at random and replace with 3 pink balls. What is the probability that the first ball drawn was either red or blue in colour and the second ball drawn was pink in colour.

A) 12/21

B) 13/17

C) 11/30

D) None of these

ANSWER :

GIVEN :

A bag contains 4 red balls, 6 blue balls and 8 pink balls.

• 1 ball is drawn at random and replace with 3 pink balls.

TO FIND :

• What is the probability that the first ball drawn was either red or blue in colour and the second ball drawn was pink in colour .

SOLUTION :

n(red balls) = n(r) = 4

• n(blue balls) = n(b) = 6

• n(pink balls) = n(p) = 8

• Total balls = 18

▪︎ So that –

 \:\: \implies \bf \: Probability = p(first \:\:ball \:  \: was \:  \: red \:  \: and \:  \: second \:  \: was \:  \: pink) + p(first \:\:ball \:  \: was \:  \: blue \:  \: and \:  \: second \:  \: was \:  \: pink)

 \:\:  \implies\bf \: Probability = \dfrac{ ^{4} c_{1}}{^{18} c_{1}}  \times\dfrac{ ^{11} c_{1}}{^{20} c_{1}}  +  \dfrac{ ^{6} c_{1}}{^{18} c_{1}}  \times\dfrac{ ^{11} c_{1}}{^{20} c_{1}}

 \:\:  \implies\bf \: Probability = \dfrac{4}{18}  \times\dfrac{11}{20}  +   \dfrac{6}{18}  \times\dfrac{11}{20}

 \:\:  \implies\bf \: Probability = \dfrac{44}{360}+\dfrac{66}{360}

 \:\:  \implies\bf \: Probability = \dfrac{44 + 66}{360}

 \:\:  \implies\bf \: Probability = \dfrac{110}{360}

 \:\:  \implies\bf \: Probability = \dfrac{11}{36}

 \:\:  \implies \large{ \boxed{\bf Probability = \dfrac{11}{36}}}

▪︎ Hence , Option (D) is correct.

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