1-4.1 If a die is rolled, determine the probability of each of the following events .. a) Obtaining the number 5. b) Obtaining a number greater than 3. c) Obtaining an even number. 1-4.2 If a pair of dice are rolled, determine the probability of each of the following events. a) Obtaining a sum of 11. b) Obtaining a sum less than 5. c) Obtaining a sum that is an even number. 1-4.3 A box of unmarked ICs contains 200 hex inverters, 100 dual 4-input positive-AND gates, 50 dual J-K flip flops, 25 decade counters, and 25 4-bit shift registers. a) If an IC is selected at random, what is the probability that it is a dual J-K flip flop? b) What is the probability that an IC selected at random is not a hex inverter? c) If the first IC selected is found to be a 4-bit shift register, what is the probability that the second IC selected will also be a 4-bit shift register? 1-4.4 In the IC box of Problem 1-4.3 it is known that 10% of the hex inverters are bad, 15% of the dual 4-input positive-AND gates are bad, 18% of the dual J-K flip flops are bad, and 20% of the decade counters and 4-bit shift registers are bad. a) If an IC is selected at random, what is the probability that it is both a decade counter and good? b) If an IC is selected at random and found to be a J-K flip flop, what is the probability that it is good? c) If an IC is selected at random and found to be good, what is the probability that it is a decade counter?
1-4.1 If a die is rolled, determine the probability of each of the following
a) Obtaining the number 5.
b) Obtaining a number greater than 3.
c) Obtaining an even number.
1-4.2 If a pair of dice are rolled, determine the probability of each of the following events.
a) Obtaining a sum of 11.
b) Obtaining a sum less than 5.
c) Obtaining a sum that is an even number.
1-4.3 A box of unmarked ICs contains 200 hex inverters, 100 dual 4-input positive-AND
gates, 50 dual J-K flip flops, 25 decade counters, and 25 4-bit shift registers.
a) If an IC is selected at random, what is the probability that it is a dual J-K flip flop?
b) What is the probability that an IC selected at random is not a hex inverter?
c) If the first IC selected is found to be a 4-bit shift register, what is the probability that
the second IC selected will also be a 4-bit shift register?
1-4.4 In the IC box of Problem 1-4.3 it is known that 10% of the hex inverters are bad, 15%
of the dual 4-input positive-AND gates are bad, 18% of the dual J-K flip flops are bad,
and 20% of the decade counters and 4-bit shift registers are bad.
a) If an IC is selected at random, what is the probability that it is both a decade counter
and good?
b) If an IC is selected at random and found to be a J-K flip flop, what is the probability
that it is good?
c) If an IC is selected at random and found to be good, what is the probability that it
is a decade counter?
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