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5. A pair of dice is tossed simultaneously. Find the probability that the sum of numbers onthe dice is a prime number. |
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Answer» Sample space for total number of possible outcomes(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)Total number of outcomes =36Favorable outcomes for SUM as prime are(1,1),(1,2),(1,4),(1,6),(2,3),(2,3),(2,5),(3,2),(3,4),(4,1),(4,3),(5,2),(5,6),(6,1),(6,5)Number of FAVORABLE outcomes =15Hence, the PROBABILITY of GETTING the sum as a prime number. = 15/36 = 5/12.Please Mark Me As The Brainliest. |
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