03 "And" Probabilities for Statistics

A spinner has four spaces: A, B, C and D. The arrow is equally likely to land on any space. What is the probability of spinning a B 3 times in a row?

• 1/4

• 1/12

• 1/64

• 1/81

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.2

A trial consists of rolling a fair die and then flipping a fair coin. Find the probability of getting a 1 or 2 on the die and tails on the coin.

• 1/72

• 1/2

• 1/12

• 1/6

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

Mr. & Mrs. Mathy are having (fraternal) triplets. Assuming boy and girl babies are equally likely, what is the probability that they will all be girls?

• 3/2

• 1/27

• 1/3

• 1/8

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

A bucket contains 5 yellow and 7 red marbles. If 2 marbles are selected randomly without replacement, what is the probability that the first one will be yellow and the second one will be red?

• 35/132

• 35/66

• 35/72

• 35/144

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.9

Sid has a bag of skittles - 12 red, 14 green & 10 blue. He chooses one at random, eats it, and chooses another. What is the probability that he selects first a red and then a blue?

• 1/120

• 11/105

• 1/6

• 2/21

Tags

CCSS.HSS.CP.B.8

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

When two Events  $A$  and  $B$  are independent in relation to each other,  $P\left(A\ and\ B\right)\ =$  

•  $P\left(A\ |\ B\right)\cdot P\left(B\ |\ A\right)$  

•  $P\left(A\right)\cdot P\left(A\ |\ B\right)$  

•  $P\left(A\right)\cdot P\left(B\right)$  

•  $P\left(A\right)+P\left(B\ |\ A\right)$  

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.2

A sock drawer has 5 pairs of white, 4 pairs of black and 6 pairs of multicolored socks. What is the probability that you choose first a white pair, then a black pair, and then a multicolor pair (throwing each pair onto the floor after choosing it)?

• 4/91

• 8/225

• 1/3,375

• 24/675

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

A sock drawer has 5 pairs of white, 4 pairs of black and 6 pairs of multicolored socks. What is the probability that you select first a white pair, then a black pair, and then a multicolor pair, if you replace each pair after selecting it?

• 8/225

• 4/91

• 1/3,375

• 24/675

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.2