When you toss a coin twice, what is the probability of getting a head in both the attempts?

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

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

When you toss a coin twice what is the probability of getting a tail in both the attempts?

A

1 / 2

B

1

C

0

D

1 / 4

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

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

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

Read the passage carefully and select the best answer to each question out of the given four alternatives. One should consciously engage in activities that will nourish your soul. Just as we nourish the body, we need to nurture the soul to connect to the creative power ofthe universe and to manifest joy in our lives. Often, we forget to address the soul, lost as we are in a jungle of material and sensual pleasures. But the more youembrace what feeds your soul, the happier you become. So if you want to enjoy the abundance of life, engage in what enriches your soul. Nurturing the soul is allabout finding calm amidst chaos. There are a number of practices that empower people towards this end including silent contemplation, various forms of meditation,yoga and tai chi However, the rigor and discipline involved in the pursuit of such practices often seems to discourage people. Add to this, the temptations of thematerial world that leave little time and motivation for anyone to pursue the spiritual path. Poet Walt Whitman declared: “Whatever satisfies the soul is truth”. Thegood news is that simple, everyday activities can also nutrify the soul — like spending time in the midst of nature, dancing in the rain or just putting thoughts onpaper. Do whatever is calming and pleases you. Creative pursuits are particularly appealing as inside each one of us, there is an artist craving for release andawaiting an opportunity for expression. One of the ways to indulge the artist within is to get started with the practice of any one or more of the creative art formssuch as music, singing, dancing, acting, drawing, painting, sculpting, poetry, fiction or essay writing. When you engage in such soul nourishing activities, all thought and energy gets focused toward goal accomplishment. At this point, you will find that even unknownforces of the universe are conniving to assist you in your amateurish but sincere attempts. As you progress, you are motivated to do better. You touch and access afaculty, a part of you that you never knew existed. Your inner artist is unleashed, baring the beauty of your soul that has found a fond medium of expression. Forinstance, a sculptors soul is seen in his artwork; a musicians in his compositions; an actors in his acting, a painters in his paintings and so on. It is immaterialwhether your effort is an immaculate artwork or just a clumsy attempt by a layperson. The idea is to try, be inspired and to create giving free rein to the mind. AsMichelangelo remarked: “I saw the angel in the marble and carved until I set him free”! According to the passage, why even our amateurish attempts motivate us?

A

Because even unknown forces of the universe are assisting us in them.

B

Because we never knew that this part ever existed inside us.

C

Because these amateur attempts of ours are insincere ones.

D

Because they still are clumsy and need improvement.

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

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

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

When you toss a coin what is the probability of not getting a head?

A

1

B

1 / 2

C

2

D

0