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Fifteen balls in a jar are numbered from 1 to 15. A ball is drawn at random. Find the probability that the number on the balls is

a. less than 6
b. greater than 9
c. even
d. less than 6 or greater than 9
e. less than 6 or even

Sagot :

Abzhatang99idn

Answer:

a. 5/15 or 1/3

b. 6/15 or 2/5

c. 7/15

d. 11/15

e. 10/15 or 2/3

Step-by-step explanation:

a. 1,2,3,4 and 5 are the numbers which are less than six. Five numbers in a total of Fifteen balls So 5/15 or 1/3 in a lowest term

b. 10, 11, 12, 13, 14 and 15 are the numbers which are greater than nine. That's Six numbers in a total of Fifteen balls

c. even numbers

2,4,6,8,10,12 and 14. seven balls in a total of Fifteen balls in a jar so 7/15

d. formula: P(A or B) = P(A) + P(B)

A= 5/15( less than 6 )

B= 6/15 (greater than 9)

5/15 + 6/15 = 11/15

e. formula P(A or B)= P(A) + P(B) - P(A and B)

P(A) = 1,2,3,4,5

P(B) = 2,4,6,8,10,12,14

P(A and B) = 2,4 (same balls in A and B)

5/15+7/15-2/5

10/15 or 2/3

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