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birdman9416
27.06.2020 •
Mathematics
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. (a) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw
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Ответ:
Question Completion
(b) Use the possibility diagram to calculate the probability that the product of the two numbers is
I) A prime number
ii) Not a perfect square
iii) A multiple of 5
iv) Less than or equal to 21
v) Divisible by 4 or 6
I) 0.125 (ii)0.828125 (iii)0.234375 (iv) 0.625 (v)0.65625
Step-by-step explanation:
The sample space for an 8-sided fair die rolled twice is:
(a) The possibility diagram of the product of the two numbers appearing on the die in each throw
(b)
I) A prime number
Number of Products which are prime numbers = 8
ii) Not a perfect square
Number of products which are perfect squares =11
iii) A multiple of 5
Number of Products that are multiples of 5=15
iv) Less than or equal to 21
Number of products less than or equal to 21=40
v) Divisible by 4 or 6
Products Divisible by 4 or 6= 42
Ответ:
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