Aman has 25 marbles more than half of the marbles that Rajiv has. If Aman has 40 marbles ,how many marbles does Rajiv have ?

Step-by-step explanation: lets say, rajiv has x marbles.

given: aman has 40 marbles

           and aman's marbles are 25 more than half of rajiv's marbles.

so, aman has 25 + x/2 marbles

    40 = 25 + x/2

    40 - 25 = x/2

    15 = x/2

    15*2 = x

    30 = x

thus, rajiv has 30 marbles.                  

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560