Three coins are tossed up. What is the probability that two coins have shown heads if it is known that one coin is already tails?
1/2
3/7
3/4
4/7
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
Suppose that each of 3 men at a party throws his hat into the center of the room. The hats are first mexed up and each man randomly selects a hat. What is the probability that none of the 3 men selects his own hat?
1/3
2/3
2/9
4/9
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
If A, B, C are three independent events then choose the correct statement.

Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
A ball is drawn from an urn containing 4 balls numbered 1, 2, 3, 4.

Let E={1,2} F={1,3} G={1,4}

If all the four outcomes are equally likely then choose the incorrect statement.

E, F are independent
F, G are independent
E, F, G are independent
E, G are independent
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
There are three balls in a bag. One of them was confirmed to be Red. The remaining balls can be Red or not. When a ball is picked randomly from the bag, what is the probability that it is Red?
1/3
2/3
1/4
1/2
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
Rhea has prepared 60% of the syllabus and attempted a multiple choice questions exam. If the question is from the syllabus she prepared, she knows the answer. If the question is not from the prepared part, she guesses the answer. She can guess exactly 1 out of 3 questions correctly. What is the probability that for a question, she knows the answer given that she answered correctly.
9/11
7/15
9/15
7/11
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
Suppose you are spending ‘2’ hours for GATE preparation per day. What is the probability that you spend exactly 3 hours for GATE preparation tomorrow.

[Note: e=2.71828]

0.180
0.120
0.16
0.50
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
If a person carry a mask while going out for 6 out of every 10 times.

A Person goes out for 5 times a day. What is the probability that exactly 3 times he carries a mask?

0.125
0.287
0.3456
0.138
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
If ‘x’ is uniformly distributed over (0, 10) then probability that x<3 is
1/3
3/10
1/10
9/10
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
In a class of boys and girls, out of every 5 students 3 are girls and 2 are boys. Among them, 4% of men are over 6 feet tall and 1% of women are over 6 feet tall. If a student is selected at random from among all those over six feet tall, what is the probability that the student is a woman?
2/11
2/3
8/11
3/11
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33
The number of Covid cases in a town for two weeks are listed below.

132, 121, 119, 116, 130, 121, 131, 117, 119, 135, 121, 129, 106, 134.

The mode of the above date set is ___________

121
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.00
A coin is tossed till first tails appear. Let x be the total number of times coin tossed.

What is the probability that P(X=5) ( i.e. it requires 5 tosses to get a tail )

1/2
1/16
1/32
1/8
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33
From a complete deck of 52 cards, two cards are selected with replacement. The probability that both are aces is 1/x. Then the value of ‘x’ is _____
169
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33
Let X be a continuous random variable with probability density function

2
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.00