An urn contains 6 red, 4 blue, 2 green 3 yellow marbles. If two marbles are drawn at random from the run, what is the probability that both are red ?
A. $$\frac{1}{6}$$
B. $$\frac{1}{7}$$
C. $$\frac{2}{15}$$
D. $$\frac{2}{5}$$
Answer: Option B
Solution(By Examveda Team)
Total number of balls = (6 + 4 + 2 + 3) = 15Let E be the event of drawing 2 red balls.
Then, n(E) $$ = {}^6\mathop C\nolimits_2 $$ $$ = \frac{{6 \times 5}}{{2 \times 1}}$$ = 15
Also, $$n(S) = {}^{15}\mathop C\nolimits_2 $$ $$ = \frac{{15 \times 14}}{{2 \times 1}}$$ = 105
$$\therefore P(E) = \frac{{n(E)}}{{n(S)}} = \frac{{15}}{{105}} = \frac{1}{7}$$
Related Questions on Probability
A. $$\frac{{1}}{{2}}$$
B. $$\frac{{2}}{{5}}$$
C. $$\frac{{8}}{{15}}$$
D. $$\frac{{9}}{{20}}$$
A. $$\frac{{10}}{{21}}$$
B. $$\frac{{11}}{{21}}$$
C. $$\frac{{2}}{{7}}$$
D. $$\frac{{5}}{{7}}$$
A. $$\frac{{1}}{{3}}$$
B. $$\frac{{3}}{{4}}$$
C. $$\frac{{7}}{{19}}$$
D. $$\frac{{8}}{{21}}$$
E. $$\frac{{9}}{{21}}$$
What is the probability of getting a sum 9 from two throws of a dice?
A. $$\frac{{1}}{{6}}$$
B. $$\frac{{1}}{{8}}$$
C. $$\frac{{1}}{{9}}$$
D. $$\frac{{1}}{{12}}$$
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