Question

If one of the 50 states is chosen at random, then a standard die is rolled, Find the probability of getting a state that starts with the letter N, then a number that is at least 2.

Answer 1

We have that the US states that start with the letter 'N' are:

Nebraska

Nevada

New Hampshire

New Jersey

New Mexico

New York

North Carolina

North Dakota

The probability of selecting a state that starts with an N is 8/50, and the probability of rolling at least a 2 in a die is 5/6, therefore:

`\begin{gathered} P(\text{select state that starts with an N and rolling at least a 2)=} \\ ((8)/(50))((5)/(6))=(40)/(50\cdot6)=(40)/(300)=(4)/(30)=(2)/(15) \end{gathered}`

therefore, the probability is 2/15