At an amusement park, the probability that a child eats a hot dog and drinks a soda pop is 0.47. the probability that a child eats a hot dog is 0.69 and the probability that a child drinks soda pop is 0.86. what is the probability (rounded to the nearest hundredth) that a child drinks soda pop given that the child has already eaten a hot dog?

hint: p(a|b)=p(a∩b) / p(b)

0.55

0.40

0.32

0.68

option D

0.68

Step-by-step explanation:

Conditional Probability:

Finding the probability of an event given that something else has already happened.

p(A) =  The probability that a child eats a hot dog  = 0.69

p(B) =  The probability that a child drinks soda pop = 0.86

p(A∩B) = The probability that a child eats a hot dog and drinks a soda pop = 0.47

Formula to use

P(A|B) = P(A∩B) / P(A)

          = 0.47 / 0.69

          = 0.68

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!