In a drawer there are 5 black socks and 3 green socks. Two socks are picked randomly one after the other without replacement. What is the possibility that both the socks are black?
A. $$\frac{{5}}{{14}}$$
B. $$\frac{{5}}{{8}}$$
C. $$\frac{{3}}{{8}}$$
D. $$\frac{{5}}{{16}}$$
Answer: Option A
Solution(By Examveda Team)
Number of Black socks = 5Total socks = 5 + 3 = 8
First we draw one sock
Probability of it being black = $$\frac{{5}}{{8}}$$
Now a second sock is picked
Probability of its being black = $$\frac{{4}}{{7}}$$
Total Probability $$ = \frac{5}{8} \times \frac{4}{7} = \frac{5}{{14}}$$
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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