Question 1
What is the probability of getting a sum of 9 from two throws of a dice?
1/3
1/6
1/9
1/12
Question 2
Let f(x) be the continuous probability density function of a random variable x, the probability that a < x ≤ b, is
f (b − a)
f (b) − f (a)
[Tex]P(a < x \leq b) = \int_{a}^{b} f(x) \, dx[/Tex]
[Tex]P(a < x \leq b) = \int_{a}^{b} xf(x) \, dx[/Tex]
Question 3
What is the probability that a randomly selected bit string of length 10 is a palindrome?
1/64
1/32
1/8
1/4
Question 4
What is the probability of 3 students sharing a birthday in a class of 30 students is ________ .
0.0300
0.7029
0.5604
None of the above
Question 5
Four different pens (1, 2, 3, 4) are to be distributed at random in four pen stands marked as 1, 2, 3, 4. What is the probability that none of the pen occupies the place corresponding to its number ?
17/24
3/8
1/2
5/8
Question 6
A box contains 5 green, 4 yellow and 3 white balls. Three balls are drawn at random. What is the probability that they are not of the same color?
3/44
3/55
52/55
41/44
Question 7
Two cards are drawn together from a pack of 52 cards. What is the probability that one is a spade and one is a heart?
3/20
29/34
47/100
13/102
Question 8
From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
1/15
25/57
35/256
1/221
Question 9
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
7/9
5/8
3/4
1/2
Question 10
A number p is chosen at random from the numbers [-3, 3]. What is the probability that value of p < 2
3/7
5/7
4/7
1/7
There are 18 questions to complete.