Question

I found answers for the first 3 but i believe they are incorrect. Can someone please answer these questions with the following requirements. Thank u

Q21-23) An urn contains 5 red balls, 4 green balls, and 4 yellow balls, for a total of 13 balls. A random selection of balls will be made.

21) if 4 balls are randomly selected with replacement, what is the probability of obtaining 2 yellow balls and 2 red balls?
a) 0.08
b) 0.10
c) 0.12
d) 0.14
e) 0.1754785

22) If 5 balls are randomly selected without replacement, what is the probability of selecting 2 red, 2 green, and 1 yellow ball?
a) 0.13
b) 0.15
c) 0.17
d) 0.19
e) 0.21

23) If 5 balls are randomly selected without replacement, what is the probability of selecting at least two balls, given that at least one yellow ball is selected? hint: this is a conditional probability problem.
a) 0.59
b) 0.61
c) 0.63
d) 0.65
e) 0.67 .

25) if you flip a coin nine times, what is the probability of obtaining at least two tails?
a) 0.9505
b) 0.9605
c) 0.9705
d) 0.9805
e) 0.9905 <---- how?

26) what is the probability that 4 random people are born in the same month? for ease of calculation, you may assume that all 12 months have the same number of days.
a) 0.0004 <----- how?
b) 0.0006
c) 0.0008
d) 0.0010
e) 0.0012

27) Suppose there are three events, A,B, and C, such that:
P(AB)=0 . P(AC)=0 . P(BC)=0.4

Then what is P(ABC)?

Answer 1

Q 23 I think is missing some information. Specifically which colour of ball.

Rest solution is given below.