What is the probability of getting either a sum of 5 or at least one 5 in the roll of a pair of dice?

1 answer:

4 0

In a throw of 2 fair dice, there are 6*6=36 equiprobability outcomes.

To get a sum of 5, there are 4 ways, (1,4),(2,3),(3,2),(4,1) with probability of 4/36=1/9

To get at least one 5, there are 6+6-1=11 outcomes (note (5,5) has been counted in both, so subtracted from sum). The probability is 11/36

Since the two events are mutually exclusive (once we have a five, the sum can no longer be 5), we can add the probabilities to get the probability of one event or the other.

P(sum of 5 OR at least one 5)=1/9+11/36=4/36+11/36=15/36=5/9

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Answer:

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Step-by-step explanation:

firstly we know that 2 - 12 is equal to 10 so that is $10.00 there from that coupon

to find out the second value, we first devide by the total amount (%100 in this case)

12 / 100 = 10.12

then we multiply by the partial amount (%30)

0.12 * 30 = 3.6

convert that into a dollar amount and we get the total discount in dollars