Tree Diagrams and Probability #1

The probability that Alondra successfully passes her math exam depends on the exam topic. The probability that the topic is statistics is 0.35 and the probability she passes this topic is only 0.3. The probability that Alondra passes any other topic during the exam is 0.8.

Fill in the tree diagram.

P(the exam topic is statistics) : A = ​ (a)  

P(the exam topic is anything else): B = ​ (b)  

P(Alondra will not pass | statistics): C = ​ (c)  

P(Alondra will pass | any other topic): D = ​ (d)  

P(Alondra will not pass | any other topic): E =​ (e)  

• 0.35
• 0.65
• 0.7
• 0.8
• 0.2

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.1

The probability that Alondra successfully passes her math exam depends on the exam topic. The probability that the topic is statistics is 0.35 and the probability she passes this topic is only 0.3. The probability that Alondra passes any other topic during the exam is 0.8.

What is the probability the exam topic is statistics and Alondra passes the exam?

• 0.105

• 0.245

• 0.52

• 0.13

• 0.3

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.3

The probability that Alondra successfully passes her math exam depends on the exam topic. The probability that the topic is statistics is 0.35 and the probability she passes this topic is only 0.3. The probability that Alondra passes any other topic during the exam is 0.8.

What is the probability Alondra does not pass the exam?

• 0.375

• 0.625

• 0.245

• 0.13

• 0.52

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.7

A lego storage box is left with 4 blue and 7 red bricks. Yonel takes a brick from the box at random and attaches it to his new castle. He then chooses another brick from the same box at random.

Fill in the tree diagram.

P(1st brick is red) : A = ​ (a)  

P(2nd brick is blue | 1st brick is blue): B = ​ (b)  

P(2nd brick is red | 1st brick is blue): C = ​ (c)  

P(2nd brick is blue | 1st brick is red): D = ​ (d)  

P(2nd brick is red | 1st brick is red): E =​ (e)  

• 7/11
• 3/10
• 7/10
• 6/10
• 8/11
• 4/10
• 4/11
• 6/11

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.6

A lego storage box is left with 4 blue and 7 red bricks. Freddy takes a brick from the box at random and attaches it to his new castle. He then chooses another brick from the same box at random.

What is the probability that both bricks are the same color?

(a)  

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.9