Let event A be I turn the TV on, and the event B It is evening Represent the following events using logical operators 'and', 'or', 'not' and the labels A and B just given (a) The evening came and I did not turn the tv on (b) It's morning and the TV is not on (c) Either the TV is on or it is evening or both (d) It is afternoon or the TV is on or both Please list the ways in which we can obtain the result described as 'the total sum of the results of throwing three dice is 5 or less' Please list the ways in which we can obtain the result described as 'the total sum of the results of throwing three dice is at most 6' Consider the event at least one head will occur in two flips of a coin Can you write this event in terms of the following simpler events 'head in first throw' (or H1 for short), 'tail in first throw' (T1), 'head in second throw' (H2), 'tail in second throw' (T2) You will have to use the logical operators 'and', 'or' and the cleverer among you might want to use 'not' Consider the event at most one head will occur in three flips of a coin Can you write this same statement in terms of the simpler events 'head in first throw' (or H1 for short), 'tail in first throw' (T1), 'head in second throw' (H2), 'tail in second throw' (T2) ), 'head in third throw' (H3), 'tail in second throw' (T3) You will have to use the logical operators 'and', 'or' and 'not' List all the possible ways in which we could obtain the following event the second of two draws from a deck of cards is a king of hearts Drawing is done without replacement List all the possible ways in which we could obtain the following event when drawing three cards from a deck, we obtain a king, a queen and a 2 of hearts Drawing is done without replacement Assuming an unbiased coin obtain the expression that allows to calculate the probability of the event obtaining at least one tail when flipping a coin twice Write down the expression that allows calculation of the probability of the event obtaining a king of hearts in the second draw from a deck of cards Drawing is done without replacement Write down the expression that allows calculation of the probability of the event obtain ing a king of hearts, a 2 when drawing two cards from a deck Drawing is done without replacement 1 Calculate the probabilities for problems 9 to 11 (don't worry if you have problems with 10 because of conditional probability, you can tackle it after we cover conditional probabilities in class)

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Let event A be I turn the TV on, and the event B It is evening. Represent the following events using logical operators 'and', 'or',

Let event A be I turn the TV on, and the event B It is evening. Represent the following events using logical operators 'and', 'or', 'not' and the labels A and B just given.
(a) The evening came and I did not turn the tv on. (b) It's morning and the TV is not on.
(c) Either the TV is on or it is evening or both. (d) It is afternoon or the TV is on or both.
Please list the ways in which we can obtain the result described as 'the total sum of the results of throwing three dice is 5 or less'.
Please list the ways in which we can obtain the result described as 'the total sum of the results of throwing three dice is at most 6'.
Consider the event "at least one head will occur in two flips of a coin". Can you write this event in terms of the following simpler events: 'head in first throw' (or H1 for short), 'tail in first throw' (T1), 'head in second throw' (H2), 'tail in second throw' (T2)? You will have to use the logical operators 'and', 'or' and the cleverer among you might want to use 'not'.
Consider the event "at most one head will occur in three flips of a coin". Can you write this same statement in terms of the simpler events 'head in first throw' (or H1 for short), 'tail in first throw' (T1), 'head in second throw' (H2), 'tail in second throw' (T2) ), 'head in third throw' (H3), 'tail in second throw' (T3)? You will have to use the logical operators 'and', 'or' and 'not'.
List all the possible ways in which we could obtain the following event "the second of two draws from a deck of cards is a king of hearts". Drawing is done without replacement.
List all the possible ways in which we could obtain the following event "when drawing three cards from a deck, we obtain a king, a queen and a 2 of hearts". Drawing is done without replacement.
Assuming an unbiased coin obtain the expression that allows to calculate the probability of the event "obtaining at least one tail when flipping a coin twice".
Write down the expression that allows calculation of the probability of the event "obtaining a king of hearts in the second draw from a deck of cards". Drawing is done without replacement.
Write down the expression that allows calculation of the probability of the event "obtain- ing a king of hearts, a 2" when drawing two cards from a deck. Drawing is done without replacement.

Calculate the probabilities for problems 9 to 11 (don't worry if you have problems with 10 because of conditional probability, you can tackle it after we cover conditional probabilities in class).