4. Tisha has two bags of marbles like the ones shown below.

Bag 1

Bag 2

Blue

Blue

Yellow

Red

Blue

Blue

Rod

Blue

Yellow

Red

Tisha will randomly select 1 marble from each

bag. What is the probability that Tisha will select

a blue marble from each bag?



A. 0.25

B. 0.5

C. 0.6

D. 0.1

Please help

0.25

Step-by-step explanation:

Bag 1 :

Number of marbles = 6

Number of Blue marbles = 3

Bag 2:

Number of marbles = 4

Number of Blue marbles = 2

Recall :

Probability = required outcome / Total possible outcomes

For Bag 1:

P(blue) = Number of Blue marbles / total marbles

P(blue) = 3 / 6 = 1/ 2

For Bag 2:

P(blue) = Number of Blue marbles / total marbles

P(blue) = 2 / 4 = 1/ 2

Probability of a picking a blue marble from each bag :

1/2 * 1/2 = 1/4 = 0.25

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)