If a coin is tossed, then a card is drawn from an ordinary deck of 52 cards, and then a die is rolled, the probability of obtaining a head, an ace, and a 5 is 38/39.
Probability in mathematics is a number, between 0 and 1, expressing the precise likelihood of an event happening.
According to this question, the probability of obtaining a head when a coin is tossed is ½ because a coin can either be a tail or head.
Also, the probability that an ace will be obtained from a deck of 52 cards is ⁴/13 because there are 4 aces in 52 deck of cards.
Lastly, the probability that a 5 will be obtained when a die is rolled is ⅙ because there are 6 possible outcomes when a die is rolled.
Hence, the probability of obtaining a head, an ace, and a 5 is calculated as follows:
½ + ⅙ + ⁴/13 = 38/39
Therefore, if a coin is tossed, then a card is drawn from an ordinary deck of 52 cards, and then a die is rolled, the probability of obtaining a head, an ace, and a 5 is 38/39.
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