Practice with Probability and Counting Principles Find the number of possible choices when you choose one item from each category 1) 8 socks, 8 pairs of sunglasses, 7 shirts, 9 hats, 7 scarves
2) 3 desserts, 4 drinks, 3 vegetables
Find the probability. Write your answer as a fraction in simplest form 3) A number from 16 to 27 is drawn at random. P(a number divisible by 3).
4) You roll a number cube numbered from 1 to 6. P(an even number).
5) A jar contains 23 green and 15 orange marbles. A marble is drawn at random. P(not orange).
6) You flip a coin and toss a 16 number cube. P(tails and a number divisible by 2)
7) You roll a number cube numbered from 1 to 6. You then spin a spinner with 3 sections each with a different color. The spinner has the colors orange, blue, and yellow. P(2 and blue)
8) There are 5 orange, 3 yellow, and 3 violet marbles in a hat. You pick 2 marbles from the hat. Marbles are not returned after they have been drawn. P(two yellow marbles in a row)
9) A deck of cards has 3 orange, 4 purple, and 3 white cards. You pick 2 cards from the deck. Cards are not returned to the deck after they are picked. P(the first card is not orange and the second card is not white)
10) A deck of cards has 5 brown, 5 black, 6 pink, 4 gray, and 2 yellow cards. You pick 2 cards from the deck. Cards are not returned to the deck after they are picked. P(the first card is black and the second card is gray)
11) There are 6 navy, 5 blue, and 6 brown marbles in a hat. You pick 3 marbles from the hat. Marbles are returned after they have been drawn. P(three brown marbles in a row)
12) A card is drawn from an ordinary deck of 52 cards. Find P(ace or heart)
13) A card is drawn from a standard deck. Find P(ace or black card)
14) A card is drawn from a standard deck Find P( diamond, club, or king)
15) A spinner has equal sections of red, blue, yellow and green. Find P (green or yellow)