Quiz about Probability

Question 1

Given two independent events $${A}$$ and $${B}$$ such that $${P}({A})=0.3, {P}({B})=0.6$$ and $${P}(A^{\prime} \cap B^{\prime})$$ is

Accepted Answer

Covalent bond

Answer

$$0.28$$

Answer

$$0.9$$

Answer

$$0.18$$

Answer

$$0.1$$

Question 2

Three friends go for coffee. They decide who will pay the bill, by each tossing a coin and then letting the "odd person" pay. There is no odd person if all three tosses produce the same result. If there is no odd person in the first round, they make a second round of tosses and they continue to do so until there is an odd person. What is the probability that exactly three rounds of tosses are made?

Accepted Answer

Covalent bond

Answer

$$\frac{3}{64}$$

Answer

$$\frac{5}{64}$$

Answer

$$\frac{7}{64}$$

Answer

$$\frac{6}{64}$$

Question 3

Find the mean number of defective items in a sample of two items drawn one-by-one without replacement from an urn containing 6 items, which include 2 defective items. Assume that the items are identical in shape and size.

Accepted Answer

Covalent bond

Answer

$$\frac{2}{3}$$

Answer

$$\frac{1}{8}$$

Answer

$$\frac{6}{7}$$

Answer

$$\frac{4}{5}$$

Question 4

Case-Study 3: Read the following passage and answer the questions given below.

![](http://admin.getprephub.com/media/editor/mh38_20221009220112250026.png)

There are two antiaircraft guns, named as A and B. The probabilities that the shell fired from them hits an airplane are $$0.3$$ and $$0.2$$ respectively. Both of them fired one shell at an airplane at the same time.

What is the probability that the shell fired from exactly one of them hit the plane?

Accepted Answer

Covalent bond

Answer

$$0.38$$

Answer

$$0.76$$

Answer

$$0.43$$

Answer

$$0.21$$

Question 5

Case-Study 3: Read the following passage and answer the questions given below.

![](http://admin.getprephub.com/media/editor/mh38_20221009220112250026.png)

There are two antiaircraft guns, named as A and B. The probabilities that the shell fired from them hits an airplane are $$0.3$$ and $$0.2$$ respectively. Both of them fired one shell at an airplane at the same time.

If it is known that the shell fired from exactly one of them hit the plane, then what is the probability that it was fired from $${B}$$ ?

Accepted Answer

Covalent bond

Answer

$$\frac{7}{19}$$

Answer

$$\frac{6}{17}$$

Answer

$$\frac{3}{11}$$

Answer

$$\frac{8}{15}$$

Probability Cbse Class 12 Maths Problems and Solutions

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