Three coins are tossed Describe.Two events A and B which are not … - Vidyadip

Question

Three coins are tossed Describe.Two events A and B which are not mutually exclusive.

✓

Answer

When three coins are tossed, the sample space is given by,
S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
The two events that are not mutually exclusive a,
A: getting three heads
B: getting at least 2 heads
i.e. A = {HHH} and B = {HHH, HHT, HTH, THH}
This is because A ∩ B = {HHH} ≠ Φ

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 "Solve the Following Question.(2 Marks)" from Probability→Probability — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow0}\frac{\text{a}^\text{x}+\text{b}^\text{x}-\text{c}^\text{x}-\text{d}^\text{x}}{\text{x}}$

Three professors A, B and C appear in an interview for the post of Principal. Their chances of getting selected as a principal are $\frac{2}{9}, \frac{4}{9}, \frac{1}{3}$. The probabilities they introduce new course in the college are $\frac{3}{10}$, $\frac{1}{2}, \frac{4}{5}$ respectively. Find the probability that the new course is introduced.

Show the following quadratic equation by factorization method:
$13x^2 - 7x + 1 = 0$

How many two-letter words can be formed using letters from the word SPACE, when repetition of letters (i) is allowed (ii) is not allowed

Prove that:
$\cos20^\circ+\cos100^\circ+\cos140^\circ=0$

Classify the following pairs of lines as coincident, parallel or intersecting:
2x + y - 1 = 0 and 3x + 2y + 5 = 0

Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow0}\frac{\text{a}^\text{x}+\text{a}^{-\text{x}}-2}{\text{x}^2}$

Prove the following : $\sin x \tan \frac{x}{2}+2 \cos x=\frac{2}{1+\tan ^2\left(\frac{x}{2}\right)}$

Find the number of permutations of n distinct things taken r together, in which 3 particular things must occur together.

One angle of a quadrilateral is $\frac{2 \pi}{9}$ radian and the measures of the other three angles are in the ratio $3: 5: 8$, find their measures in degree.