Question

probability measures how likely something is to happen, with values between 0 (impossible) and 1 ().
in a standard deck of 52 cards, the probability of drawing an ace is.
the total number of possible outcomes when rolling two six - sided dice is.
independent events are two or more events where the outcome of one does not the outcome of the other.
dependent events are events where the outcome of one event the outcome of another.

Explanation:

Step1: Probability value range

Probability values range from \(0\) (impossible) to \(1\) (certain).

Step2: Probability of drawing an Ace

A standard deck has \(52\) cards and \(4\) Aces. Probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{4}{52}=\frac{1}{13}\).

Step3: Total outcomes for two dice

Each die has \(6\) sides. By the multiplication principle, total outcomes \(=6\times6 = 36\).

Step4: Independent events definition

Independent events: the outcome of one does not affect the outcome of the other.

Step5: Dependent events definition

Dependent events: the outcome of one event affects the outcome of another.

Answer:

1. certain
2. \(\frac{1}{13}\)
3. \(36\)
4. affect
5. affects