Reference no: EM132849316

Theoretical Probability

1. Find the probability of each of the following situations:

(a) You toss a coin Æ what is the probability of seeing tails come up?

(b) You toss two coins Æ what is the probability of seeing both coins show tails?

(c) You toss three coins Æ what is the probability of seeing only one tail on all three coins?

(d) You toss three coins Æ what is the probability of seeing at least one tail on all three coins?

2. Find the probability of each situation of rolling a six-sided die:

(a) What is the probability of rolling a 5?

(b) What is the probability of rolling a 1 or a 2?

(c) What is the probability of rolling an odd number?

(d) What is the probability of rolling a number greater than 2?

3. A standard deck of cards contains 52 cards - these cards are identified as follows: There are 4 suits: Spades, Hearts, Clubs and Diamonds. Each suit contains 13 cards: Ace (often valued at 1), numbered cards 2, 3, 4, 5, 6, 7, 8, 9, and 10, and then a Jack ("J"), a Queen ("Q") and finally a King ("K"). Spades and Clubs are both black coloured cards and the Hearts and Diamonds are red coloured cards. The Jack, Queen and King cards are also often referred to as face cards as they have a face on them. Based on the above description of a standard deck of cards calculate the probability for the following situations - based on an experiment of drawing one card from a well-shuffle deck:

(a) What is the probability of drawing a red card from the deck?

(b) What is the probability of drawing a heart card from the deck?

(c) What is the probability of drawing an even numbered card (2, 4, 6, 8, 10 - of any suit) from the deck?

(d) What is the probability of drawing a face card from the deck?