ABCTE Test 1

Front

What is the formula for calculating probability?

Back

Probability (P) is calculated as P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}.

Front

How do you calculate the probability of selecting one item without replacement?

Back

To calculate the probability of selecting one item without replacement, multiply the probability of selecting the first item by the probability of selecting the second item after the first has been removed.

Front

What is the Law of Sines?

Back

The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant: \frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}.

Front

How do you find the number of arrangements of letters in a word?

Back

The number of arrangements of letters in a word is calculated using the factorial of the number of letters. For example, for the word 'math', it is 4! = 24.

Front

What is the probability of selecting a specific color from a group of colored items?

Back

The probability of selecting a specific color is calculated as the number of items of that color divided by the total number of items.

Front

What is the probability of an event occurring on the third attempt?

Back

To find the probability of an event occurring on the third attempt, calculate the probability of failure for the first two attempts and success on the third: P(success on 3rd) = P(failure) * P(failure) * P(success).

Front

What is a favorable outcome in probability?

Back

A favorable outcome is an outcome that satisfies the conditions of the event for which the probability is being calculated.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the total number of outcomes in a probability experiment?

Back

The total number of outcomes is the sum of all possible outcomes that can occur in the experiment.

Front

What is the concept of 'without replacement' in probability?

Back

'Without replacement' means that once an item is selected, it is not returned to the pool of items for subsequent selections.