Write the sample space for the experiment of tossing a coin four … - Vidyadip

Question

Write the sample space for the experiment of tossing a coin four times.

✓

Answer

When a coin is tossed once, there are two possible outcomes: a head (H) and a tail (T). When a coin is tossed four times, the total number of possible outcomes is $2^4 = 16$. Thus, when a coin is tossed four times, the sample space is given by S = {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "(Each question 1 marks)" from Probability→Probability — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Let A = {1, 2, 3, 4, 5, 6}. Define a relation R from A to A by R = {(x, y) : y = x + 1 }. Depict this relation using an arrow diagram.

Evaluate the following limits in Exercise: $\lim\limits_{\text{x} \rightarrow1}\pi\text{r}^2$

If $\sin\text{x}+\cos\text{x}=\text{a},$ find the value of $|\sin\text{x}-\cos\text{x}|.$

A committee of two persons is selected from two men and two women. What is the probability that the committee will have one man?

Find out the following sentences are statements and which are not. Justify your answer. Listen to me, Ravi.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion (A) $\lim\limits_{\text{x}\rightarrow 0} \frac{3{^{2+\text{x}}-9}}{\text{x}}$ is equal to $9\log2$ Reason (R) $\lim\limits_{\text{x}\rightarrow 0}\frac{\text{a}^{\sin\text{x}}-1}{\sin\text{x}}$ is equal to $\log\text{a}.$

A is true, R is true; R is acorrect explanation of A.
A is true, R is true; R is not a correct explanation of A.
A is true; R is false
A is false; R is true.

Find the radian measure to the degree measure: $-47^{\circ} 30^{\prime}$

If f, g, h are real functions given by $f(x) = x^2, \text{g(x)}=\tan\text{x}$ and $\text{h(x)}=\log_\text{e}\text{x},$ then write the value of (hogof) $\Big(\sqrt{\frac{\pi}{4}}\Big)$

Find the radian measure to the degree measure: 25°

Evaluate the following limit: $\lim\limits_{\text{x}\rightarrow{\text{a}}}\frac{\sqrt{\text{x}}+\sqrt{\text{a}}}{{\text{x}+\text{a}}}$