Answer: a) 0.2222, b) 0.3292, c) 0.1111
Step-by-step explanation:
Since we have given that
Let the probability of getting head be p.
Since, its head is twice as likely to occur as its tail.

a)If the coin is flipped 3 times, what is the probability of getting exactly 1 head?
So, here, n = 3


Now,

b)If the coin is flipped 5 times, what is the probability of getting exactly 2 tails?
2 tails means 3 heads.
So, it becomes,

c)If the coin is flipped 4 times, what is the probability of getting at least 3 tails?

Hence, a) 0.2222, b) 0.3292, c) 0.1111
A^2+B^3=c^2
6^2+8^2=c^2
36+16=c^2
52=c^2
Square root both sides
7.2=C
From the information given:
Random wins 2000 800 400 0
Probabilities 1/10^4 4/10^4 10/10^4 9985/10^4
thus the expectation will be:
E(x)=[2000+4*800+4000+9985*0]/10^4
E(x)=9200/10000
E(x)=$0.92
Answer:

Step-by-step explanation: