2 An experiment involves the tossing of a pair of dice, 1 green and 1 red, and recording the numbers that come up. If x represents the outcome on the green die and y the outcome on the red die. describe the sample space.

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1 List the elements of each of the following sample spaces:
(a) The set of integers between 1 and 50 that are divisible by 8
(b) The set S= {x|x + 4x - 5 = 0}
(c) The set of outcomes when a coin is tossed until a tail on
three heads appear
(d) The set S= {x|2x – 4 2 0, x< 1}
2 An experiment involves the tossing of a pair of dice, 1 green and
1 red, and recording the numbers that come up. If x represents
the outcome on the green die and y the outcome on the red die,
describe the sample space.
3 Suppose that an experiment is made up of throwing a die and
then flipping a coin once if the die shows an even number. If the
number on the die is odd, the coin is flipped twice. For example,
2H represents the event of the die gives the number 2 and then
the coin shows a head, and 3TH represents the event that the die
gives the number 3 and the coin shows a tail and followed by a
head. Construct a tree diagram showing the 18 elements of the
sample space, S.
Transcribed Image Text:1 List the elements of each of the following sample spaces: (a) The set of integers between 1 and 50 that are divisible by 8 (b) The set S= {x|x + 4x - 5 = 0} (c) The set of outcomes when a coin is tossed until a tail on three heads appear (d) The set S= {x|2x – 4 2 0, x< 1} 2 An experiment involves the tossing of a pair of dice, 1 green and 1 red, and recording the numbers that come up. If x represents the outcome on the green die and y the outcome on the red die, describe the sample space. 3 Suppose that an experiment is made up of throwing a die and then flipping a coin once if the die shows an even number. If the number on the die is odd, the coin is flipped twice. For example, 2H represents the event of the die gives the number 2 and then the coin shows a head, and 3TH represents the event that the die gives the number 3 and the coin shows a tail and followed by a head. Construct a tree diagram showing the 18 elements of the sample space, S.
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