Explanation :
1/2
Correct Answered :
Wrong Answered :
A
1/2
B
3/2
C
5/2
D
7/2
1/2
Correct Answered :
Wrong Answered :
A
16/52
B
17/52
C
4/52
D
13/52
16/52
Correct Answered :
Wrong Answered :
A
Prior Probability
B
Posterior probability
C
Joint probability
D
None of the above
A posterior probability, in Bayesian statistics, is the revised or updated probability of an event occurring after taking into consideration new information. The posterior probability is calculated by updating the prior probability using Baye`s theorem.
Correct Answered :
Wrong Answered :
A
0.125
B
0.5
C
1
D
0.25
Sample space: {HHH, HTH,THH,TTH, HHT, HTT,THT,TTT}
Total number of possible outcomes=8
Probability of getting at least two heads is:
P(A)=P(getting two heads)+P(getting 3 heads)
= 3/8 + 1/8
= 4/8 = 1/2 = 0.5
Correct Answered :
Wrong Answered :
A
4/9
B
3/7
C
1/2
D
1/3
A
2/7
B
1/3
C
1/6
D
3/7
P(X U Y) = P(X) + P(Y) - P(X ∩ Y).
Since X and Y are independent events therefore
P(X ∩ Y) = P(X) x P(Y).
0.6 = P(X) + 0.3 - P(X) x 0.3
0.6 = 0.7 P(X) + 0.3
0.3 = 0.7 P(X)
P(X) = 0.3/0.7
=3/7
Correct Answered :
Wrong Answered :
A
1/7
B
1/5
C
2/7
D
2/5
Let A be the event boy speaks truth
P(A)=2/3
Let B be the Event dice shows 3
P(B) = 1/6
using Bayes therorem
P(B|A) = (P(B).P(A|B))/( P(B) . P(A|B) + P(~B). P(A|~B) )
= (2/18)/(2/18 + 5/18) =2/7
Correct Answered :
Wrong Answered :
A
1/4
B
1/13
C
1/52
D
1/2
A
5/21
B
10/21
C
10/19
D
5/7
A
31/32
B
1/64
C
1/32
D
63/64
First find the probability that NO heads turn up i.e., five tails.
That would be (1/2)5 = 1/32.
For at least one heads to occur is the complement of all tails. It`s probability is 1 - 1/32 = 31/32
Correct Answered :
Wrong Answered :
A
1/120
B
1/5
C
1/180
D
1/30
A
1/72
B
5/12
C
5/24
D
1/36
A
1/5
B
1/2
C
1/6
D
1/3
A
1/26
B
1/52
C
2/51
D
1/102
There are total 13 cards of club, so probability that one card is spade is 13/52
According to the questions cards are drawn without replacement. So only 51 cards are left.
Again there are 26 red cards and only two among them are kings
So probability of red king is 2/51
Probability that one card is a club and other card is king of red colour is 13/52 * 2/51 = 1/102
Correct Answered :
Wrong Answered :
A
1/9
B
1/6
C
7/36
D
5/36
Correct Answered :
Wrong Answered :
A
5/32
B
15/64
C
5/64
D
15/32
A
5/8
B
1/4
C
1/2
D
3/8
1/2
Correct Answered :
Wrong Answered :
A
3/5
B
4/5
C
1/4
D
3/4
3/4
Correct Answered :
Wrong Answered :
A
Turnout
B
Rigging
C
Booth Capturing
D
Level Playing field
Turnout
Correct Answered :
Wrong Answered :
A
1/3
B
3/5
C
2/5
D
2/3
1/3
Correct Answered :
Wrong Answered :
A
0.6
B
0.3
C
0.5
D
0.4
0.4
Correct Answered :
Wrong Answered :