Ans. 1/3 Q.30 A fair die is rolled. Let A be the event that the face is prime and B be the event that the face is even. Find the following probabilities. (i) P(A U B) (ii) P(A n B) Ans. (i) (iii) P(A/B) (iv) P(B/A) (v) P(A/B). (iv) 1/3 5/6. (ii) 1/6 (iii) 1/3 (v) 2/3

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Solbe Q30

P(AnB)= 1/4 and P(A) 5/8.
Find P(A), P(B) and P(A n B).
t random
Ans. P(A)
28 The following contingency table is set up:
= 3/8,
P(B) = 3/4, P(A n B)
= 1/8
2 are rei
rder, red
/143
10
20
obabilis
20
40
Compute the following probabilities
orse B
(i)
event A
event B
(iii)
event A
event A and B
(vi)
event A and B
(iv) event B
d andi
(viii
event A and B
(ix
event'A or B
(vii) event A and B
event A or B
(vi) 2/9
event A or B
(xii)
(xi)
(iii) 2/3
(ix) 5/9
(x)
event A or B
(iv) 2/3 (v) 1/9
(x) 7/9 (xi) 7/9 (xii) 8/9
Ans: (1)
1/3
(ii)
1/3
ce?
(vii) 2/9
(viii) 4/9.
and B Q.29 Two coins are tossed. What is the conditional probability that the two heads
result, given that there is at least one head?
Faluate
Q.30 A fair die is rolled. Let A be the event that the face is prime and B be the event
that the face is even. Find the following probabilities.
Ans. 1/3
(iii) P(A/B) (iv) P(B/A) (v) P(A/B).
(iv) 1/3
is the
(i) P(A U B) (ii) P(A O B)
Ans. (i) 5/6.
(v) 2/3
(ii) 1/6
(iii) 1/3
Transcribed Image Text:P(AnB)= 1/4 and P(A) 5/8. Find P(A), P(B) and P(A n B). t random Ans. P(A) 28 The following contingency table is set up: = 3/8, P(B) = 3/4, P(A n B) = 1/8 2 are rei rder, red /143 10 20 obabilis 20 40 Compute the following probabilities orse B (i) event A event B (iii) event A event A and B (vi) event A and B (iv) event B d andi (viii event A and B (ix event'A or B (vii) event A and B event A or B (vi) 2/9 event A or B (xii) (xi) (iii) 2/3 (ix) 5/9 (x) event A or B (iv) 2/3 (v) 1/9 (x) 7/9 (xi) 7/9 (xii) 8/9 Ans: (1) 1/3 (ii) 1/3 ce? (vii) 2/9 (viii) 4/9. and B Q.29 Two coins are tossed. What is the conditional probability that the two heads result, given that there is at least one head? Faluate Q.30 A fair die is rolled. Let A be the event that the face is prime and B be the event that the face is even. Find the following probabilities. Ans. 1/3 (iii) P(A/B) (iv) P(B/A) (v) P(A/B). (iv) 1/3 is the (i) P(A U B) (ii) P(A O B) Ans. (i) 5/6. (v) 2/3 (ii) 1/6 (iii) 1/3
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