Question

Misha used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below:



Color of
Marble Number of
Times Rolled
Blue
20
Green
18
Yellow
12


Heads Tails
28
22


Using Misha's simulation, what is the probability of pulling a blue marble and the coin landing tails up?
410 over 2500

440 over 2500

32 over 50

42 over 50

Answer 1

The probability of selecting a blue marble is 20/50.
The probability of tails is 22/50.
The events are independent, therefore the probability of pulling a blue marble and the coin landing tails up is
\[\large P(blue \cap tails)=\frac{20}{50}\times\frac{22}{50}=you\ can\ calculate\]

Answer 2

0.176 is??? @kropot72

Answer 3

@kropot72

Answer 4

Although your calculation is correct, the choices of answer do not include this simplified result. Therefore you should not simplify, which gives:
\[\large P(blue \cap tails)=\frac{20}{50}\times\frac{22}{50}=\frac{440}{2500}\]