Probability?

john ng

2016-12-18 7:43 pm

1.The prob that X1+X2=prime no,<5
2.The prob that the both nos,are the same,given that the sum is greater that 10
3.The prob that the sum is greater than 10,given that both nos.as the same.

回答 (1)

用戶2053

2016-12-19 9:04 am

✔ 最佳答案

1)
P(1+2) + P(2+1) + P(1+4) + P(4+1) + P(2+3) + P(3+2) + P(1+6) + P(6+1) + P(3+4) + P(4+3)

= (0.14 * 0.15) + (0.18 * 0.14) + (0.14 * 0.15) + (0.14 * 0.18) + (0.14 * 0.15) + (0.14 * 0.15) + (0.14 * 0.2)
+ (0.29 * 0.18) + (0.14 * 0.15) + (0.14 * 0.15)

= 6(0.14 * 0.15) + 2(0.18 * 0.14) + (0.14 * 0.2) + (0.29 * 0.18)
= 0.2566

2)
P(6+6) / ( P(5+6) + P(6+5) + P(6+6) )
= 0.29 * 0.2 / ( 0.15 * 0.2 + 0.29 * 0.17 + 0.29 * 0.2)
= 0.058 / 0.1373
= 580/1373

3)
P(6+6) / ( P(1+1) + P(2+2) + P(3+3) + P(4+4) + P(5+5) + P(6+6) )
= 0.29 * 0.2 / ( 0.14 * 0.18 + 0.14 * 0.15 + 0.14 * 0.15 + 0.14 * 0.15 + 0.15 * 0.17 + 0.29 * 0.2 )
= 0.058 / 0.1717
= 580/1717

👍 2 👎 0