Two dice are rolled simultaneously.find the probability (a) of event A that the sum of the digits on the upper faces is a prime number (b) of event B that the sum of the digits on the upper faces is a multiple of 5.
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hey mate!
Step-by-step explanation:
a) For the prime number 2, there is only one combination: (1,1). For the prime number 3, there can be two combinations: (1,2) and (2,1). For the prime number 5, there can be four combinations: (1,4), (4,1), (2,3), and (3,2). Thus, in total, the number of possibilities are
Thus, the probability is= P(1)=7/36
b) Probability of getting a sum of 5 or 6 = 9/36 = 1/4.
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