Consider the following for the next two (02) items that follow:
$A$, $B$ and $C$ are three events such that $P(A) = 0.6$, $P(B) = 0.4$, $P(C) = 0.5$, $P(A \cup B) = 0.8$, $P(A \cap C) = 0.3$ and $P(A \cap B \cap C) = 0.2$ and $P(A \cup B \cup C) \geq 0.85$.
What is the maximum value of $P(B \cap C)$?
Consider the following for the next two (02) items that follow:
An unbiased coin is tossed $n$ times. The probability of getting at least one tail is $p$ and the probability of at least two tails is $q$ and $p - q = \frac{5}{32}$.
What is the value of $n$?
Consider the following for the next two (02) items that follow:
An unbiased coin is tossed $n$ times. The probability of getting at least one tail is $p$ and the probability of at least two tails is $q$ and $p - q = \frac{5}{32}$.
What is the value of $p + q$?
Consider the following for the next two (02) items that follow:
| $x_i$ | 1 | 2 | 3 | ... | $n$ |
|---|---|---|---|---|---|
| $f_i$ | 1 | $2^{-1}$ | $2^{-2}$ | ... | $2^{-(n-1)}$ |