A number x is chosen from the set (1,2,3....100), from the remaining numbers, another number y is chosen. Find the probability that the product of xy is even.
a)3/5
b)2/3
c)7/9
d)3/4
Answer the question and I will mark your answer as branliest.
Answers
Number of possible outcomes for x is 1,2,3,4=4
Number of possible outcomes for y is 1,4,9,16=4
Since they are selected at random, hence each has equal in number of possibilities.
Therefore, total outcomes =16 (like a dice question making a box and writing the products as
(1×1),(1×4),(1×9),(1×16),(2×1),(2×4),(2×9),(2×16),(3×1),(3×4),(3×9),(3×16),
(4×1),(4×4),(4×9),(4×16)
Favourable outcomes =8.
(1×1),(1×4),(1×9),(2×1),(2×4)(3×1),(3×4),(4×1)
Answer:
Number of possible outcomes for x is 1,2,3,4=4
Number of possible outcomes for y is 1,4,9,16=4
Since they are selected at random, hence each has equal in number of possibilities.
Therefore, total outcomes =16 (like a dice question making a box and writing the products as
(1×1),(1×4),(1×9),(1×16),(2×1),(2×4),(2×9),(2×16),(3×1),(3×4),(3×9),(3×16),
(4×1),(4×4),(4×9),(4×16)
Favourable outcomes =8.
(1×1),(1×4),(1×9),(2×1),(2×4)(3×1),(3×4),(4×1)
Probability that product of x and y is less than 16=
16
8
=
2
1
Step-by-step explanation:
