Question

P(n) models the probability, when rolling a pair of dice, of obtaining two numbers whose sum is n 2 6 7 P(n) 1/36 5/36 6/36 when does the probability increase faster? a)Between a sum of 2 and a sum of 6 b) Between a sum of 6 and a sum of 7 c)the probability increases at the same rate over both intervals

Answer 1

Answer:

Option c.

Step-by-step explanation:

From the given table, it is clear that

$P(2)=\dfrac{1}{36}$

$P(6)=\dfrac{5}{36}$

$P(7)=\dfrac{6}{36}$

The increasing rate of probability between a sum of 2 and a sum of 6 is

$r_1=\dfrac{P(6)-P(2)}{6-2}$

$r_1=\dfrac{\dfrac{5}{36}-\dfrac{1}{36}}{4}=\dfrac{1}{36}$

The increasing rate of probability between a sum of 6 and a sum of 7 is

$r_2=\dfrac{P(7)-P(6)}{7-1}$

$r_2=\dfrac{\dfrac{6}{36}-\dfrac{5}{36}}{1}=\dfrac{1}{36}$

Since $r_1=r_2$, therefore the probability increases at the same rate over both intervals.

Hence, the correct option is c.

Answer 2

Answer:

c)the probability increases at the same rate over both intervals

Step-by-step explanation:

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