Question

If one of the 50 states is chosen at random, then a dice is rolled. Find the probability of getting a state that starts with the letter A and a number less than 3. Pls, help me this is due by tomorrow at 8 am!

Answer 1

Answer: 2/75

Note: 2/75 = 0.0267 = 2.67% approximately

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Step-by-step explanation:

The states that start with "A" are:

• Alabama
• Alaska
• Arizona
• Arkansas

We have four states out of 50 total. The probability of picking a state that starts with "A" is 4/50 = 2/25.

When rolling a single die, the possible outcomes are {1,2,3,4,5,6}. The subset {1,2} represents any time we roll less than three. There are 2 ways to roll less than three, out of 6 ways total. So we have a probability of 2/6 = 1/3 here.

We'll multiply the fractions to get our answer:

(2/25)*(1/3) = (2*1)/(25*3) = 2/75