Two dice are thrown together. The probability that the sum of the two numbers is a
multiple of of 4 is
Answers
Answer:
1/4
Step-by-step explanation:
Total possible outcomes = 36
Total outcomes = 36
They are [1,3], [3,1], [2,6], [6,2], [4,4], [3,5], [5,3], [6,6], [2,2]
P(Sum of the two number is a multiple of 4) = 9/36
1/4
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Answer:
The possible outcomes when two dice are thrown together are:
(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6).
Therefore, the number of possible outcomes when two dice are thrown is 36.
Now, the possible outcomes of getting a sum divisible by 4 are
{(1,3),(2,2),(2,6),(3,1),(3,5),(4,4),(5,3),(6,2),(6,6)}, which means the number of favourable outcome is 9.
Therefore, probability P of getting a sum divisible by 4 is:
P= 36 9 = 1/4
Hence, the probability of getting a sum divisible by 4 is
1/4