Question

1. which statement describes independent events? a president and vice - president are randomly selected from a group of 24 students. you randomly draw a blue marble from a bag, return the marble, and then randomly draw a yellow marble. you randomly draw four cards from a standard deck of cards without replacement. you draw a king, then a queen, then a jack, and then an ace. you write the numbers 1 through 10 on index cards. you randomly draw two cards without replacement: a 6 and an 8.

Explanation:

Independent events are those where the occurrence of one event does not affect the probability of the occurrence of another event. When you draw a blue marble from a bag, return it, and then draw a yellow marble, the first - draw does not change the composition of marbles in the bag for the second draw. In the other cases, selecting a President and Vice - President from a group of students is a dependent event as the selection of one affects the selection of the other. Drawing cards without replacement (drawing a King, then a Queen, then a Jack, then an Ace from a deck of cards) and drawing two index cards without replacement (drawing a 6 and an 8 from index cards numbered 1 - 10) are also dependent events since the sample space changes after each draw.

Answer:

You randomly draw a blue marble from a bag, return the marble, and then randomly draw a yellow marble.