GAT Subject Statistics MCQs

Mutually exclusive events have no overlap.
P(A ∪ B) = 0.30 + 0.25 = 0.55.

Apply inclusion-exclusion for the union.
0.6 + 0.5 - 0.3 = 0.8.

Combinations count groups rather than sequences.
The same selected members in another order are not new.

Odds compare favorable and unfavorable possibilities.
If probability is p, odds in favor are p to 1-p.

Expected value combines each outcome with its probability.
Over many repetitions, the average tends toward this value.

A fair coin has two equally likely outcomes.
One of the two outcomes is heads, so the probability is 1/2.

A random experiment can be repeated under similar conditions.
The exact outcome is uncertain before observation.

The sample space lists every outcome that can occur.
Events are subsets of this space.

An event consists of one or more possible outcomes.
Its probability measures how likely it is to occur.

The complement contains all sample-space outcomes outside A.
Its probability is 1 - P(A).

Mutually exclusive events have an empty intersection.
Thus P(A ∩ B) = 0.

Independent events satisfy P(A|B) = P(A).
Their intersection probability equals the product of their probabilities.