GAT Subject Statistics MCQs

There are 13 hearts in a 52-card deck.
The probability is 13/52 = 1/4.

There are five balls in total and three are red.
The probability is 3/5.

The addition rule combines probabilities of events in a union.
Any overlap must be subtracted once.

Independence allows multiplication of the separate event probabilities.
This gives the probability that both occur.

Bayes theorem reverses conditional probabilities using prior information.
It combines prior probability with likelihood of evidence.

Permutations count ordered arrangements.
Changing the order produces a different arrangement.

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.