Independent v Dependent and tree diagrams

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

Mathematical Equivalence

ON

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

• 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).

Mathematical Equivalence

ON

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? (a)  

• 1/4
• 2/3
• 3/10
• 3/5

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

• Independent
• Dependent

Tags

CCSS.HSS.CP.A.5

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

• independent
• dependent

Tags

CCSS.HSS.CP.A.5

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

• Independent
• Dependent

Tags

CCSS.HSS.CP.A.5

What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?

• 1 ⁄ 6
• 1 ⁄ 8
• 1 ⁄ 2
• 1 ⁄ 12

You are fishing in a small pond containing 7 bass, 4 sunfish, 6 catfish, and 3 goldfish.  What is P(bass, then goldfish)?

​ ​ (a)   ​ (b)   ​ (c)  

• multiply
• add
• subtract
• divide

Lisa flipped the same coin 3 times. What is the probability she obtained all tails?

Mathematical Equivalence

ON