Probability — Important Questions

2/6

Numbers greater than 4 on a dice are 5 and 6. Number of favorable outcomes = 2. Total possible outcomes = 6. P(number > 4) = 2/6 = 1/3.

Probability is always between 0 and 1, Probability of a sure event is 1, Probability of an impossible event is 0

The basic properties of probability are: (1) 0 ≤ P(E) ≤ 1 for any event E, (2) P(sure event) = 1, (3) P(impossible event) = 0. Probability cannot be negative or greater than 1.

1/13

A standard deck has 52 cards with 4 aces (one in each suit). P(ace) = Number of aces / Total cards = 4/52 = 1/13. Note that 4/52 is mathematically equivalent to 1/13, but 1/13 is the simplified form.

3/4

When two coins are tossed, possible outcomes are: HH, HT, TH, TT. Total outcomes = 4. Outcomes with at least one head: HH, HT, TH (3 outcomes). P(at least one head) = 3/4.