1. Sally Jones bought a standard deck of 52 playing cards. She looked through th
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1. Sally Jones bought a standard deck of 52 playing cards. She looked through them and discovered that there were three types of cards, face cards, aces, and others. The following table lists the frequency of the three types of cards. Card Type Face Cards Frequency Aces Other cards 12 4 36 (a) [5 points] She mixed the cards up and randomly selected one card. Then she put that card back into the deck and randomly selected another card. What is the probability that both of them were face cards? (b) [5 points] If she first randomly picked one card, and then (without replacement of the first card) picked another card at random from the deck, what is the probability that both of them were aces? 2. [5 points] A coin is tossed five times. [NOTE: 50% of the time, a tossed coin will result in a "Head", 50% of the time it will result in a "Tail".] what is the probability that at least one toss results in a tail?Explanation / Answer
1. Sally Jones bought a standard deck of 52 playing cards. She looked through them and discovered that there were three types of cards, face cards, aces, and others. The following table lists the frequency of the three types of cards. Card Type Face Cards Frequency Aces Other cards 12 4 36 (a) [5 points] She mixed the cards up and randomly selected one card. Then she put that card back into the deck and randomly selected another card. What is the probability that both of them were face cards? (b) [5 points] If she first randomly picked one card, and then (without replacement of the first card) picked another card at random from the deck, what is the probability that both of them were aces? 2. [5 points] A coin is tossed five times. [NOTE: 50% of the time, a tossed coin will result in a "Head", 50% of the time it will result in a "Tail".] what is the probability that at least one toss results in a tail?
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