48 I think hope this helps
Answer:
A) P(WWC) = 0.128
B) P(WCC) = 0.032
P(CWC) = 0.032
P(CCW) = 0.032
C) probability of getting 2 correct answers when 3 guesses are made is i.e P (1 wrong and 2 correct) = 0.064
Step-by-step explanation:
A) Using the multiplication rule, we have; P(A and B) = P(A) x P(B)
Probability of a wrong answer = 4/5 = 0.8
Probability of a correct answer = 1/5 =0.2
Thus; P(WWC) = 0.8 x 0.8 x 0.2 = 0.128
B) Beginning with one wrong and two correct answers, a complete list of all possibilities is;
P(WCC), P(CWC), P(CCW)
Hence the complete list is;
(0.8 x 0.2 x 0.2); (0.2 x 0.8 x 0.2); (0.2 x 0.2 x 0.8)
So we have;
P(WCC) = 0.032
P(CWC) = 0.032
P(CCW) = 0.032
C) Based on the results above, the probability of getting 2 correct answers when 3 guesses are made is i.e P(1 wrong and 2 correct) = 2 x 0.032 = 0.064
Answer:
a) 1/22
b) 3/44
c) 3/11.
Step-by-step explanation:
a).
Prob(picking a blue first) = 5/12.
Prob(picking a yellow next) = 4/11 ( as it is without replacement)
Prob(purple next) = 3/10
Probability of picking these in this order = 5/12 * 4/11 * 3/10
= 1/22 (answer).
Note the probabilities are multiplied because the 3 events are independent.
b)
Prob(all the same colour) = Prob(All are blue) + Prob(all are yellow) + Prob ( All are purple)
Prob(All are blue) = 5/12 * 4/11 * 3/10 = 1/22
Prob(all are yellow) = 4/12 * 3/11 * 2/10 = 1/55
Prob(all purple) = 3/12 * 2/11 * 1 /10 = 1/220
So probability there are all the same colour = the sum of the above
= 3/44 (answer).
c) I take this to mean that all 3 are a different colour.
This will be the number of combinations of blue, yellow and purple possible which is 3! = 6.
So the answer is 6 * 1/22 = 3/11.
Answer:
a= 4249.79264 ≈65.19≈65
Step-by-step explanation:
deltamath
