Probability

Q. How many four-digit numbers are possible using the digits 1, 3, 5 and 7 without repeatition?​

1. 24
2. 26
3. 22
4. 28

Q. How many three-digit numbers are possible using the digits 2, 4, and 6 without repetition?​

1. 6
2. 5
3. 7
4. 8

Q. Assertion : Two events A and B are such that $P\left(A\right)=\frac{1}{3}$ and $P\left(B\right)=\frac{2}{3}$ then $P(A\cup B)\ge \frac{2}{3}$
Reason : If $P\left(B\right)>P\left(A\right)$, then $P(A\cup B)\ge P\left(B\right)$

1. Assertion is true but reason is false.
2. Both assertion and reason are true and reason is the correct explanation of assertion.
3. Assertion is false but reason is true.
4. Both assertion and reason are true but reason is not the correct explanation of assertion.

Q. This term is given as one of the alternatives given below each question. Find out this term. BIGE : JQOM : : RYWU : ?

1. ZFDB
2. AGFD
3. ZYVX
4. ZGEC

Q. The largest number which exactly divides the product of any four consecutive natural numbers is

1. 6
2. 12
3. 120
4. 24

Q. Test scores of few students are plotted in the given line plot. Which of the following is a true statement regarding the given box plot?

1. The distribution is skewed
2. IQR is the best variability
3. Median is the best center.
4. The distribution is symmetrical

Q.

The number of outcomes on tossing a coin is

__

Q. The number of possible outcomes in the sample space of an event defined as throwing two coins and a die together is .

Q. Select which category the following sentence belongs to:
If we take the children with us, we will have to carry some lunch.

1. Zero Conditional
2. Second Conditional
3. Third Conditional
4. First Conditional

Q. When a coin is tossed, the total number of possible outcomes is _____.

1. 6
2. 3
3. 4
4. 2

Q. A box contains 100 shirts of which 88 are good, 8 have minor defects, and 4 have major defects.
Jimmy, a trader, accepts only good shirts. Shaun, another trader, on the other hand, only rejects the shirts with major defects. Find the probability that a shirt selected is: (i) Acceptable to Jimmy (ii) Acceptable to Shaun

1. (i) 0.88, (ii) 0.96
2. (i) 0.96, (ii) 0.04
3. (i) 0.96, (ii) 0.88
4. (i) 0.88, (ii) 0.12

Q. Emma buys a spinning wheel from a toy store. The wheel has equal slices of 4 different colors: red, blue, green, and orange as shown below.

Emma starts spinning the wheel.
What are the chances that the spinner will stop on a green-colored slice?

1. $\frac{5}{12}$
2. $\frac{1}{4}$
3. $\frac{1}{3}$
4. $\frac{1}{2}$

Q. Three students $A,B,andC$ are sitting around a circular table. The probability that $AandB$ do not sit together is .

Q. When a coin is tossed, the total number of possible outcomes is _____.

1. 4
2. 2
3. 3
4. 6

Q. When we toss a coin, the total number of outcomes is 2.

1. True
2. False

Q.

If A = {1, 2, 3} and B = {1, 4, 5} then find A ∪ B.