Question

A plant manufactures a stuffed bear at three different factories. The first factory manufactures the bear 55% of the time, the second factory 80% of the time and the third factory 67% of the time. If Jill bought three bears what is the probability that she got one from each factory? Use the tree diagram to help find the probability (round to the thousandth).
A) 0.030
B) 0.036
C) 0.295
D) 2.020

Answer 1

Answer:0.295

Step-by-step explanation:

sorry cant really explain it just know thats the one

Answer 2

Answer-

If Jill bought three bears, the probability that she got one from each factory is 0.295

Solution-

A plant manufactures a stuffed bear at three different factories.

The first factory manufactures the bear 55% of the time,

So the probability of buying the bear from first factory is,

$P(F_ 1)=\frac{55}{100}$

The second factory manufactures the bear 80% of the time,

So the probability of buying the bear from second factory is,

$P(F_2)=\frac{80}{100}$

The third factory manufactures the bear 67% of the time,

So the probability of buying the bear from third factory is,

$P(F_3)=\frac{67}{100}$

As all the 3 events are independent of each other, so the probability that she got one from each factory,

$=P(F_1\ and\ F_2\ and\ F_3)$

$=P(F_1)\times P(F_2)\times P(F_3)$

$=\frac{55}{100}\times \frac{80}{100} \times \frac{67}{100}$

$=0.55\times 0.80\times 0.67$

$=0.295$