Question

If there are 17 green marbles in a jar of 65 marbles, what is the probability of drawing 2 green marbles at random without replacement?

A. 33/129

B. 17/260

C. 17/65

D. 33/65

Answer 1

Option b)
`(17)/(260)`

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:

`Probability = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}`

`\text{P(Drawing 2 green marbles at random without replacement)} = \\\text{Probability of drawing }1^(st) \text{ green marble}* \text{Probability of drawing }2^(nd) \text{ green marble}`

`\text{Probability of drawing }1^(st) \text{ green marble} = \displaystyle(17)/(65)\\\\\text{Probability of drawing }2^(nd) \text{ green marble} = \displaystyle(16)/(64)`

`\text{P(Drawing 2 green marbles at random without replacement)} =\displaystyle(17)/(65)* (16)/(64)=(17)/(260)`

Option b)
`(17)/(260)`