Question

Find the probability. A cooler contains fifteen bottles of sports drink: seven lemon-lime flavored and eight orange flavored. You randomly grab a bottle and give it to your friend. Then, you randomly grab a bottle for yourself. You and your friend both get lemon-lime. 3 13 ≈ 0.231 4 9 ≈ 0.444 1 5 = 0.2 4 15 ≈ 0.267

Answer 1

Answer:

$\dfrac{4}{15} \approx \bold{0.267}$

Step-by-step explanation:

Given that:

Number of lemon - lime flavored bottles = 8

Number of orange flavored bottles = 7

Bottles are picked one by one.

First for the friend and then for the person himself.

To find:

The probability that both the bottles drawn are of lemon-lime flavor.

Solution:

Total number of bottles available in the cooler = 8 + 7 = 15

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

$P(First\ lemon-lime) = \dfrac{8}{15}$

Now, lemon - lime flavored bottles left = 7

Total number of bottles left = 14

$P(Second\ lemon-lime)=\dfrac{7}{14}$

Required probability:

$P(Both\ lemon - lime) = \dfrac{8}{15}\times \dfrac{7}{14}\\\Rightarrow P(Both\ lemon - lime) = \dfrac{4}{15} \approx \bold{0.267}$