Question

warm-up: cubes and queens
here are pairs of events, including some from previous lessons. which one doesnt belong?
a. rolling two standard number cubes and both number cubes show a 6
b. drawing a red card from a deck of cards, not replacing it, and then drawing a queen from the remaining cards.
c. rolling two standard number cubes and both cubes show a 1, 2, 3, 4, 5, or 6.
d. drawing the queen of hearts from a deck of cards, not replacing it, and then drawing the queen of hearts from the remaining cards.

Explanation:

• Option a: Rolling two number cubes, both showing 6 is possible (probable independent events).
• Option b: Drawing a red card then a queen (without replacement) is possible as there are queens left after drawing a red card.
• Option c: Rolling two cubes, both showing 1 - 6 is always true (since each cube shows 1 - 6, so both will too).
• Option d: After drawing the queen of hearts (without replacement), you can't draw it again. So this event is impossible, while others are possible or certain. Thus, d doesn't belong.

Answer:

d. Drawing the queen of hearts from a deck of cards, not replacing it, and then drawing the queen of hearts from the remaining cards.