<span>Lets say the 1st die rolled a 2 - there would be 2 combinations for which the sum of dice being < 5 : 2,1 2,2 Now say the 2nd die rolled a 2 - there would be 2 combinations for which the sum of dice being < 5 : 1,2 2,2 Now we want to count all cases where either dice showed a 2 and sum of the dice was < 5. However note above that the roll (2,2) is counted twice. So there are three unique dice roll combinations which answer the criteria of at least one die showing 2, and sum of dice < 5: 1,2 2,1 2,2 The total number of unique outcomes for two dice is 6*6=36 . So, the probability you are looking for is 3/36 = 1/12</span>

3 0

2 years ago

In a sample of 800 U.S. adults, 199 think that most celebrities are good role models. Two Two U.S. adults are selected at rand

mel-nik [20]

Answer:

Step-by-step explanation:

Given that in a sample of 800 U.S. adults, 199 think that most celebrities are good role models. Two Two U.S. adults are selected at random from the population of all U.S. adults without replacement.

In 800 adults 199 are favourable and remaining 601 are against.

a) The probability that both adults think most celebrities are good role models is ________= Prob of selecting both from 199

= $\frac{199C2}{800C2} \\=0.0616$

=0.062

b) The probability that neither adult thinks most celebrities are good role models is _______=P(both selecting from 601)

= $\frac{601C2}{800C2} \\=0.5641$

=0.564

c) The probability that at least one of the two adults thinks most celebrities are good role models ______

=1-Prob that neither thinks

= 1- 0.564

= 0.436

6 0

3 years ago