Wo urns contain white balls and yellow balls. the first urn contains 3 white balls and 6 yellow balls and the second urn contains 7 white balls and 3 yellow balls. a ball is drawn at random from each urn. what is the probability that both balls are white?

Answer is

Step-by-step explanation:

Given that there are two urns.  First urn contains 3 white balls and 6 yellow balls and the second urn contains 7 white balls and 3 yellow balls.

A ball is drawn from each urn.

Probability for ball from urn I is white = no of white balls/total balls in I urn

Probability for ball from urn II is white = no of white balls/total balls in I urn

Since drawing one ball from each urn is independent of the other we find

Prob that both balls are white=

Prob that ball from I urn is white *Prob that ball from II urn is white

=

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

1. 3

2. 4

3. 1

hope this ! have a great day.

-wfz