Respuesta :
Answer:
Option b) [tex]\frac{17}{260}[/tex]
Step-by-step explanation:
We are given the following information in the question:
Total number of marbles = 65
Number of green marbles = 17
We have to find the probability of drawing 2 green marbles at random without replacement.
Formula:
[tex]Probability = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}[/tex]
[tex]\text{P(Drawing 2 green marbles at random without replacement)} = \\\text{Probability of drawing }1^{st} \text{ green marble}\times \text{Probability of drawing }2^{nd} \text{ green marble}[/tex]
[tex]\text{Probability of drawing }1^{st} \text{ green marble} = \displaystyle\frac{17}{65}\\\\\text{Probability of drawing }2^{nd} \text{ green marble} = \displaystyle\frac{16}{64}[/tex]
[tex]\text{P(Drawing 2 green marbles at random without replacement)} =\displaystyle\frac{17}{65}\times \frac{16}{64}=\frac{17}{260}[/tex]
Option b) [tex]\frac{17}{260}[/tex]
