For each element in a set of size 2n, an unbiased coin is tossed. All the 2n coin tossed are independent. An element is chosen if the corresponding coin toss were head. The probability that exactly n elements are chosen is

A

\

B

\

C

\

D

$$\frac{1}{2}$$

For each element in a set of size 2n, an unbiased coin is tossed. All the 2n coin tossed are independent. An element is chosen if the corresponding coin toss were head. The probability that exactly n elements are chosen is Correct Answer \

শেয়ার করুন বন্ধুর সাথে

বিসিএস, ব্যাংক, প্রাইমারি সহ সরকারি বেসরকারি চাকুরীর পরীক্ষার প্রস্তুতির জন্য ডাউনলোড করুন Bissoy অ্যাপ

Related MCQ's

A fair (unbiased) coin was tossed four times in succession and resulted in the following outcomes: i. Head, ii. Head, iii. Head, iv. Head. The probability of obtaining a 'Tail' when the coin is tossed again is

A

0

B

$$\frac{1}{2}$$

C

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

D

$$\frac{1}{5}$$

An unbiased coin is tossed five times. The outcome of each toss is either a head or a tail. The probability of getting at least one head is

A

$$\frac{1}{{32}}$$

B

$$\frac{{13}}{{32}}$$

C

$$\frac{{16}}{{32}}$$

D

$$\frac{{31}}{{32}}$$

A coin is tossed twice if the coin shows head it is tossed again but if it shows a tail then a die is tossed. If 8 possible outcomes are equally likely. Find the probability that the die shows a number greater than 4, if it is known that the first throw of the coin results in a tail

A

1\/3

B

2\/3

C

2\/5

D

4\/15

The probability is 1/2 that a coin will turn up heads on any toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?

A

1/8

B

1/2

C

7/8

D

None of these

A coin is tossed twice. What is the probability of getting head on first toss and tail on second toss?

A

1/2

B

1/3

C

1/4

D

1

An unbiased coin is tossed an infinite number of times. The probability that the fourth head appears at the tenth toss is

A

0.067

B

0.073

C

0.082

D

0.091

A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on the fourth toss ?

A

3/4

B

1/2

C

1/8

D

1/16

A fair coin is tossed three times in succession. If the first toss produces a head, then the probability of getting exactly two heads in three tosses is

A

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

B

$$\frac{1}{2}$$

C

$$\frac{3}{8}$$

D

$$\frac{3}{4}$$

When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land on the same side each time?

A

1/8

B

1/4

C

1/3

D

3/8

The following are the two statements relating to the theory of probability. Indicate the statements being correct or incorrect.
Statement I The probability of the joint occurrence of independent events A and B is equal to the probability of event A multiplied by the probability of event B or vice-versa.
Statement II The probability of the joint occurrence of independent event A and dependent event B is equal to the probability of event A multiplied by the conditionalprobability of event B when event A has occurredor vice-versa.

A

Both statements are correct

B

Both statements are incorrect

C

Statement I is correct while Statement II is incorrect

D

Statement I is incorrect while Statement II is correct