Question

Which of the following are dependent events? Select all that apply. You flip a coin and roll a number cube. You draw a marble from a bag, replace it, and draw again. You randomly choose two socks from a drawer, hoping they will match. You draw two numbers from 1 to 10 from a hat without replacing them first.

Answer 1

dependent events

Answer 2

Dependent events -

1. You randomly choose two socks from a drawer, hoping they will match.
2. You draw two numbers from 1 to 10 from a hat without replacing them first.

Explanation:

Dependent events are those in which the outcome of first event effects the outcome of the second event. While independent events means that the probability of one event does not effect the probability of second event.

i. You flip a coin and roll a number cube. - Independent events.

Because the outcome of coin does not effect the outcome of a cube.

ii. You draw a marble from a bag, replace it, and draw again - independent events.

Because the marble that we selected at first was again replaced and the sample space for the second marble was same as the first.

iii. You randomly choose two socks from a drawer, hoping they will match -dependent event.

The outcome of 1st sock will effect the outcome when 2nd sock is picked.

iv. You draw two numbers from 1 to 10 from a hat without replacing them first. - dependent event.

The outcome of 1st number will affect the outcome when 2nd number is picked.