Probability

Front

What is the formula to calculate the total number of outfits possible with different clothing items?

Back

Total outfits = (number of jeans) x (number of t-shirts) x (number of shoes)

Front

How many outfits can be made with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

Back

80 outfits (5 x 8 x 2 = 80)

Front

What does ₁₀P₅ represent in permutations?

Back

Permutations with 10 choices and 5 positions.

Front

How do you calculate the number of ways to choose a manager and assistant from a group?

Back

Multiply the number of choices for manager by the number of remaining choices for assistant.

Front

How many ways can you choose a manager and assistant from a 9-person task force?

Back

72 ways (9 choices for manager x 8 choices for assistant = 72)

Front

What is the probability of an event?

Back

Probability = (Number of favorable outcomes) / (Total number of outcomes)

Front

If the probability that a student plays an instrument is 0.55, what does this mean?

Back

55% of students play an instrument.

Front

What is the formula for combinations?

Back

C(n, r) = n! / (r!(n-r)!) where n is total items and r is items to choose.

Front

How do you calculate the number of possibilities for a race with 25 participants where the top 8 advance?

Back

Use combinations: C(25, 8) = 1,081,575.

Front

What is the difference between permutations and combinations?

Back

Permutations consider order; combinations do not.