At a convention there are 7 mathematics instructors, 5 computer science instructors, 3 history instructors, and 4 english instru
1 answer:
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Answer:
<em>statements 3 and 4 are correct.</em>
Step-by-step explanation:
(1)
The probability of choosing cured pasta and bear= probability that the card is king.
Hence, The probability of choosing cured pasta and bear=
Probability of choosing baked cucumber and lime mutton=probability that the card is 3.
as there are 4 cards that are '3'.
Hence Probability of choosing baked cucumber and lime mutton=
as both the probabilities are equal.
Hence statement 1 is incorrect.
(2)
The probability of choosing gooseberry & passion fruit cheesecake= Probability taht the card is ace.
as there are 4 cards which are ace out of 52 cards.
Hence, The probability of choosing gooseberry & passion fruit cheesecake=
probability of choosing poached fennel & lemon alligator=Probability that the card is a face card.
As there are 12 face cards out of 52 cards.
Hence, probability of choosing poached fennel & lemon alligator=
Hence, the probability of choosing gooseberry and passion fruit cheesecake is smaller than the probability of choosing poached fennel & lemon alligator.
Hence statement 2 is false.
(3)
The probability of choosing a praline wafer=probability that the card is a diamond.
as there are 13 diamond cards out of 52 cards.
The probability of choosing a praline wafer=
the probability of choosing poached fennel & lemon alligator=Probability that the card is a face card.
As there are 12 face cards out of 52 cards.
Hence, probability of choosing poached fennel & lemon alligator=
Hence, The probability of choosing a praline wafer is greater than the probability of choosing poached fennel & lemon alligator.
Hence statement 3 is correct.
(4)
The probability of choosing pressure-cooked mushroom & garlic chicken =probability that the card is red.
As there are 26 red cards out of 52 cards.
Hence,
The probability of choosing pressure-cooked mushroom & garlic chicken =
probability of choosing an oven-baked apple & lavender calzone =probability that the card is black.
As there are 26 red cards out of 52 cards.
Hence, probability of choosing an oven-baked apple & lavender calzone=
Hence, The probability of choosing pressure-cooked mushroom & garlic chicken and the probability of choosing an oven-baked apple & lavender calzone are the same.
Hence statement 4 is true.
(5)
The probability of choosing pressure-cooked mushroom & garlic chicken =probability that the card is red.
As there are 26 red cards out of 52 cards.
Hence,
The probability of choosing pressure-cooked mushroom & garlic chicken =
the probability of choosing a praline wafer=probability that the card is a diamond.
as there are 13 diamond cards out of 52 cards.
The probability of choosing a praline wafer=
Hence, the probability of choosing pressure-cooked mushroom & garlic chicken and the probability of choosing a praline wafer are not same.
Hence, statement 5 is not correct.