Explain the answers in sufficient details i.e show the work ace? What is the probability of drawing a red ace? Are these events (\"ace\" and \"red\") mutually exclusive? Are they independent? e. List two events that are mutually exclusive for a single draw from a deck of cards. What is the probability of drawing a red f. king? What is the probability of drawing a face card in hearts? Are these two events mutually exclusive? Are they independent? 20. The human genome is composed of the four DNA nucleotides: A, T, G, and C. Some regions of the human genome are extremely G-C rich (i.e., a high proportion of the DNA nucleotides there are guanine and cytosine). Other regions are relatively A-T rich (i.e., a high proportion of the DNA nucleotides there are adenine and thymine). Imagine that you want to compare nucleotide sequences from two regions of the Solution a) Let we have two regions, Region1 and Region2. It is given that 60% nucleotides in 1st region is A&T (30% each) and remaining 40% is of G&C nucleotides(20% each). Probability of the nucleotides in Region1: Similarly for region2, Probability of the nucleotides in Region2: Probability of getting both are same nucleiods,we must multiply the individual probabilities. Probability of getting both has type A nucleoids=P(A1)*P(A2) Probability of getting both has type T nucleoids=P(T1)*P(T2) Probability of getting both has type G nucleoids=P(G1)*P(G2) Probability of getting both has type C nucleoids=P(C1)*P(C2) Required probability=P(A1)*P(A2)+ P(T1)*P(T2)+ P(G1)*P(G2)+ P(C1)*P(C2) =0.25 b) It is given that two regions are independent. To find probability to select three nucleoids sequence (triplets) from each of the two regions are same. All combinations made with the nucleoids A, T, G and C taking three at a time 4C3. The number of all combinations of 4 things taken 3 at a time is 4C3=4 Possible selections are ATG, TGC, GCA and CAT Suppose we get outcome as ATG from Region1, so Probability of getting it isNucleotidesP (N)A10.2T10.2G10.3C10.3.

1. Explain the answers in sufficient details i.e show the work ace? What is the probability of
drawing a red ace? Are these events ("ace" and "red") mutually exclusive? Are they
independent? e. List two events that are mutually exclusive for a single draw from a deck of
cards. What is the probability of drawing a red f. king? What is the probability of drawing a face
card in hearts? Are these two events mutually exclusive? Are they independent? 20. The human
genome is composed of the four DNA nucleotides: A, T, G, and C. Some regions of the human
genome are extremely G-C rich (i.e., a high proportion of the DNA nucleotides there are guanine
and cytosine). Other regions are relatively A-T rich (i.e., a high proportion of the DNA
nucleotides there are adenine and thymine). Imagine that you want to compare nucleotide
sequences from two regions of the
Solution
a) Let we have two regions, Region1 and Region2.
It is given that 60% nucleotides in 1st region is A&T (30% each) and remaining 40% is of G&C
nucleotides(20% each). Probability of the nucleotides in Region1:
Similarly for region2, Probability of the nucleotides in Region2:
Probability of getting both are same nucleiods,we must multiply the individual probabilities.
Probability of getting both has type A nucleoids=P(A1)*P(A2)
Probability of getting both has type T nucleoids=P(T1)*P(T2)
Probability of getting both has type G nucleoids=P(G1)*P(G2)
Probability of getting both has type C nucleoids=P(C1)*P(C2)
Required probability=P(A1)*P(A2)+ P(T1)*P(T2)+ P(G1)*P(G2)+ P(C1)*P(C2)
=0.25
b)
It is given that two regions are independent. To find probability to select three nucleoids
sequence (triplets) from each of the two regions are same.
All combinations made with the nucleoids A, T, G and C taking three at a time 4C3.
The number of all combinations of 4 things taken 3 at a time is 4C3=4
Possible selections are ATG, TGC, GCA and CAT
Suppose we get outcome as ATG from Region1, so Probability of getting it isNucleotidesP
(N)A10.2T10.2G10.3C10.3