If there are n independent trials, p and q the probability of success and failure respectively, then probability of exactly r successes or Let p be the probability of happening an event and q its failure, then the total chance of r successes in n trials is [MP PET 1999]

\[^{n}{{C}_{r}}{{p}^{r+1}}{{q}^{r-1}}\]

\[^{n}{{C}_{n+r}}{{p}^{r}}{{q}^{n-r}}\]

\[^{n}{{C}_{r}}{{p}^{r-1}}{{q}^{r+1}}\]

\[^{n}{{C}_{r}}{{q}^{n-r}}{{p}^{r}}\]

If there are n independent trials, p and q the probability of success

1.	If there are n independent trials, p and q the probability of success and failure respectively, then probability of exactly r successes or Let p be the probability of happening an event and q its failure, then the total chance of r successes in n trials is [MP PET 1999]
A.	\[^{n}{{C}_{n+r}}{{p}^{r}}{{q}^{n-r}}\]
B.	\[^{n}{{C}_{r}}{{p}^{r-1}}{{q}^{r+1}}\]
C.	\[^{n}{{C}_{r}}{{q}^{n-r}}{{p}^{r}}\]
D.	\[^{n}{{C}_{r}}{{p}^{r+1}}{{q}^{r-1}}\]
Answer» D. \[^{n}{{C}_{r}}{{p}^{r+1}}{{q}^{r-1}}\]

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If there are n independent trials, p and q the probability of success and failure respectively, then probability of exactly r successes or Let p be the probability of happening an event and q its failure, then the total chance of r successes in n trials is [MP PET 1999]

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