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Vinil7 [7]
3 years ago
12

1) A cooler contains fourteen bottles of sports drink: seven lemon-lime flavored and seven orange flavored. You randomly grab a

bottle and give it to your friend. Then, you randomly grab a bottle for yourself. What is the probability that you and your friend both get lemon-lime?
A) 1:4
B) '1:14
C) 3:13
D) 12:121
Mathematics
1 answer:
abruzzese [7]3 years ago
7 0

Answer:

C

Step-by-step explanation:

A cooler contains 14 bottles of sports drink:

  • 7 lemon-lime flavored
  • 7 orange flavored.

The probability that the first bottle chosen will be lemon-lime is

P_1=\dfrac{7}{14}=\dfrac{1}{2}

Then

a cooler contains 13 bottles of sports drink:

  • 6 lemon-lime flavored
  • 7 orange flavored.

The probability that the second bottle chosen will be lemon-lime is

P_2=\dfrac{6}{13}

Hence, the probability that you and your friend both get lemon-lime bottles is

P=P_1\cdot P_2=\dfrac{1}{2}\cdot \dfrac{6}{13}=\dfrac{3}{13}

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