Probability (independent/dependent)

Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?

• 1/3
• 1/2
• 1/6
• 1/4

What is the probability of tossing a coin four times and getting tails each time?

• 1/16
• 1/8
• 1/2
• 1/4

A coin is tossed and a number cube is rolled. Find the probability,  P(heads and 7).

• 1/14
• 1/2
• 0
• 1/7

Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number then a card with a number greater than or equal to five if the first card is replaced?

• 1/4
• 2/3
• 3/10
• 3/5

Given a standard deck of 52 playing cards, what is the probability of randomly drawing a 2 and then a 3 if the first card is not replaced?

• 1/13
• 4/663
• 1/676
• 1/169

Determine if the following events are dependent or independent.
Anna flips a coin two times.

• Independent
• Dependent

In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, not replacing it, and then picking a blue pen?

• 1/2
• 4/11
• 1/10
• 2/3

Clara picks a marble at random, puts it back, and then picks another marble at random.

• independent

• dependent

Pablo chooses a colored marble from a mixed bag and writes down the color. Pablo leaves it out and then draws another.

• Independent
• Dependent

What is the probability of rolling an even number on the first roll of a number cube and rolling an odd number on the second roll?

• 1/4
• 1
• 1/8
• 1/2