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26 May 2017, 04:44
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When a certain computer plays 24-point game, Δ and @ each represents one of the operation, including addition, subtraction, multiplication, and division, and each of the symbols has the following probability,
Δ → +: 0.3 -: 0.3 ×: 0.3 ÷: 0.1
@ → +: 0.4 -: 0.2 ×: 0.3 ÷: 0.1.
What is the probability that the computer calculates (6Δ3)(5@1)=12?
A. 0.04
B. 0.06
C. 0.10
D. 0.14
E. 0.24
Δ → +: 0.3 -: 0.3 ×: 0.3 ÷: 0.1
@ → +: 0.4 -: 0.2 ×: 0.3 ÷: 0.1.
What is the probability that the computer calculates (6Δ3)(5@1)=12?
A. 0.04
B. 0.06
C. 0.10
D. 0.14
E. 0.24
26 May 2017, 04:44
Kudos
Bookmarks
Official Solution:
When a certain computer plays 24-point game, Δ and @ each represents one of the operation, including addition, subtraction, multiplication, and division, and each of the symbols has the following probability,
Δ → +: 0.3 -: 0.3 ×: 0.3 ÷: 0.1
@ → +: 0.4 -: 0.2 ×: 0.3 ÷: 0.1.
What is the probability that the computer calculates (6Δ3)(5@1)=12?
A. 0.04
B. 0.06
C. 0.10
D. 0.14
E. 0.24
What satisfies (6Δ3)(5@1)=12 becomes (Δ, @)=(÷, +), (-,-) from 12=(2)(6)=(3)(4).
If it is (Δ, @)=(÷, +), then (0.1)(0.4)=0.04
If it is (Δ, @)=(-, -), then (0.3)(0.2)=0.06
0.04+0.06=0.10. Therefore, C is the answer
Answer: C
When a certain computer plays 24-point game, Δ and @ each represents one of the operation, including addition, subtraction, multiplication, and division, and each of the symbols has the following probability,
Δ → +: 0.3 -: 0.3 ×: 0.3 ÷: 0.1
@ → +: 0.4 -: 0.2 ×: 0.3 ÷: 0.1.
What is the probability that the computer calculates (6Δ3)(5@1)=12?
A. 0.04
B. 0.06
C. 0.10
D. 0.14
E. 0.24
What satisfies (6Δ3)(5@1)=12 becomes (Δ, @)=(÷, +), (-,-) from 12=(2)(6)=(3)(4).
If it is (Δ, @)=(÷, +), then (0.1)(0.4)=0.04
If it is (Δ, @)=(-, -), then (0.3)(0.2)=0.06
0.04+0.06=0.10. Therefore, C is the answer
Answer: C
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