If a number x is chosen from the numbers 1, 2, 3, and a number y is selected from the numbers 1, 4, 9. Then, P (xy < 9)
A. 7/9
B. 5/9
C. 2/3
D.1/9
Answers
Given : A number x is chosen from the numbers 1, 2, 3, and a number y is selected from the numbers 1, 4, 9.
To find : P (xy < 9)
Solution :
Total numbers of outcomes : 3 x 3 = 9
Let E be the event of (xy < 9)
Favorable outcomes are: 1 × 1 = 1, 1 × 4 = 4, 2 × 1 = 2, 2 × 4 = 8, 3 × 1 = 3
Numbers of favorable outcomes are: 5
Probability P(E) = Number of favourable outcomes / total number of outcomes
P (xy < 9) = 5/9
Hence,the probability of getting , P (xy < 9) is 5/9.
The correct option is (B) : 5/9
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