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Find the probability of each event. (Reduce all fractions to simplest form)

a. Rolling a number that is a factor of 6 on a standard number cube_______

b. Drawing a purple cube from a bag of 15 cubes, 5 of which are purple.______

c. Drawing a king from a standard deck of 52 cards. ____

d. Drawing an eight or nine of hearts from a standard deck of 52 cards._________​

Respuesta :

Part (a)

Answer:  2/3

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Work Shown:

There are 6 numbers on the die total, 4 of which are factors of 6 (1,2,3,6)

So 4/6 = 2/3 is the answer.

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Part (b)

Answer:   1/3

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Work Shown:

There are 5 purple cubes out of 15 total

5/15 = 1/3

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Part (c)

Answer:   1/13

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Work Shown:

There are 52 cards, 4 of which are kings (one of each suit)

4/52 = 1/13 is the probability of getting a king

we do not include joker cards

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Part (d)

Answer:   1/26

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Work Shown:

E = event space

E = {8H, 9H} there are two items in the event space

The notation "8H" means "8 of hearts".

S = sample space

S = set of 52 cards

Divide the number of items in set E over the number of items in set S

2/52 = 1/26

Again we do not include joker cards.

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