Maths Question?

Question

A student throws a dice twice, and get two numbers, respectively. Let A 
be the event for the sum of the two numbers is AT LEAST 8; Bi 
be the event that the 
first number is i, for i=1 to 6. 

(i) Give the values of P(A|B1), P(A|B2), P(A|B3), P(A|B4), P(A|B5), and P(A|B6)? 
[Hint: P(A|B1) is the probability that the sum of the two numbers is at least 8, 
under the condition that the first number is 1; and same for the others.] 
(ii) Using (i), find P(A). 
(iii) Using (i) and (ii), prove that for i=1, 2, &hellip;,6, A and Bi 
are not independent. 
(Need to answer for A and B1, A and B2, &hellip;, A and B6.) 
(iv) Give the values of P(B1|A), P(B2|A), P(B3|A), P(B4|A), P(B5|A), and P(B6|A)? 
[Hint: P(B1|A) is the probability that the first number is 1 under the condition 
that the sum of the two numbers is at least 8; and similar to the others.]

Answer

Your question is nonsense. "Dice" is the plural of "die", so we don't know what you are talking about right from the start.

Next you specify "P(A|B1) is the probability that the sum of the two numbers is at least 8,
under the condition that the first number is 1" and that is just nonsense, assuming you are talking about a six sided die. If you meant some other number you must say so. If the first number is 1, the sum can not be higher than 7.

Maths Question?

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