A Collection of Probability Questions

1. Determine the probability of each of the following situations a) A red card is drawn from a standard deck There are 52 cards in a deck. Half of them are red (26), so…

b) 2 even numbers are rolled on two consecutive rolls of a die. Rolling an even number (3 even numbers, 6 numbers total), is 3/6 = ½ Rolling 2 even numbers in a row, would be the product.

c) At least one three turns up when three dice are rolled. Each roll has a 1/6 chance of occuring At least 1 three could be 1, or 2, or 3 (three cases) The indirect method will be faster The compliment of “at least 1 three”, is no threes

d) Dealing a hand from a standard deck. Three of one suit and two of another. 13 cards per suit, you need 3 of them, so 13 C 3 There are 4 choices for suits, so 4 X 13 C 3 13 cards per suit, you need 2 of them, so 13 C 2 There are 3 choices for suits, so 3 X 13 C 2

e) Two face cards are drawn in a row (without replacement) from a standard deck given that the first card drawn is a king. First card drawn is a king. The next draw is a face card (there are 11 face cards left, and 51 cards left)

f) A committee of six people randomly chosen from seven males and eight females is either all male or all female. All male, 7 C 6 All female, 8 C 6 All committees, 15 C 6

g) In a six person sprint, Jesse finishes first, Marnie second, and Raul last. Jesse first:1 Marnie second: 1 Raul last: 1 3 spots left for 3 people (3!) 6! Total ways

See the sheet outline posted