A pair of fair dice is tOssed. DeTine the events A and B as folloWs. Complete parts a through a below. A: {A 4 is rolled} (The sum of the numbers of dots on the upper faces of the two dice is equal to...


A pair of fair dice is tOssed. DeTine the events A and B as folloWs. Complete parts a through a below.<br>A: {A 4 is rolled} (The sum of the numbers of dots on the upper faces of the two dice is equal to 4.)<br>B: {At least one of the two dice is showing a 3}<br>(Simplify your answers. Type integers or fractions.)<br>Since the probability of each sample point in A n B is<br>and there is/are<br>sample point(s) in An B, P(A N B) =<br>(Simplify your answers. Type integers or fractions.)<br>Since the probability of each sample point in A UB is<br>and there is/are<br>sample point(s) in AU B, P(A U B) =<br>(Simplify your answers. Type integers or fractions.)<br>Since the probability of each sample point in A is<br>sample point(s) in A°, P (A°) = ].<br>and there is/are<br>(Simplify your answers. Type integers or fractions.)<br>c. Use the additive rule to find P(A U B). Compare your answer with that for the same event in part b.<br>Jse the additive rule to find P(A U B).<br>P(A U B) =<br>(Simplify your answer. Type an integer or a fraction.)<br>Compare your answer for P(A U B) in part c with that for the same event in part b.<br>The result for P(A U B) using the additive rule is<br>the result for P(A U B) from summing the probabilities of the sample points.<br>

Extracted text: A pair of fair dice is tOssed. DeTine the events A and B as folloWs. Complete parts a through a below. A: {A 4 is rolled} (The sum of the numbers of dots on the upper faces of the two dice is equal to 4.) B: {At least one of the two dice is showing a 3} (Simplify your answers. Type integers or fractions.) Since the probability of each sample point in A n B is and there is/are sample point(s) in An B, P(A N B) = (Simplify your answers. Type integers or fractions.) Since the probability of each sample point in A UB is and there is/are sample point(s) in AU B, P(A U B) = (Simplify your answers. Type integers or fractions.) Since the probability of each sample point in A is sample point(s) in A°, P (A°) = ]. and there is/are (Simplify your answers. Type integers or fractions.) c. Use the additive rule to find P(A U B). Compare your answer with that for the same event in part b. Jse the additive rule to find P(A U B). P(A U B) = (Simplify your answer. Type an integer or a fraction.) Compare your answer for P(A U B) in part c with that for the same event in part b. The result for P(A U B) using the additive rule is the result for P(A U B) from summing the probabilities of the sample points.

Jun 05, 2022
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