Consider the following experiment Rolling a pair of fair di

Consider the following experiment: \" Rolling a pair of fair dice 10 times and recording the number of times we get a 7\". One of the following statements is not true. A fixed number of trials, 10 The probability of rolling a 7 is 1/6 for every trial. There are several possible outcomes. Each trial is independent. The probability of rolling exactly 3 sevens is: The probability of rolling at least 1 seven.

Solution

8.

ANSWER:

C. There just 2 outcomes: a 7 or NOT a 7.

9.

Note that the probability of x successes out of n trials is          
          
P(n, x) = nCx p^x (1 - p)^(n - x)          
          
where          
          
n = number of trials =    10      
p = the probability of a success =    0.166666667      
x = the number of successes =    3      
          
Thus, the probability is          
          
P (    3   ) =    0.15504536 = 0.1550, OPTION C [ANSWER]

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10.

P(at least one 7) = 1 - P(no seven) = 1 - (1-1/6)^10

= 0.838494417 = 0.8385, OPTION A [ANSWER]