Final answer:
The decimal equivalent to 14/100 is 0.14, option A. For mutually exclusive events H and D with probabilities 0.25 and 0.15, P(HD) is 0, option B. For independent events A and B with probabilities 0.2 and 0.3, P(A AND B) is 0.06, option D.
Step-by-step explanation:
The decimal equivalent to 14/100 is 0.14. To convert a fraction to a decimal, you divide the numerator by the denominator. In this case, dividing 14 by 100, you get 0.14, which corresponds to option A. Therefore, the answer to which decimal is equivalent to 14/100 is A) 0.14.
For the question involving mutually exclusive events, if H and D are mutually exclusive events, and P(H) = .25, P(D) = .15, then the probability of both H and D occurring together, denoted as P(HD), is 0 because mutually exclusive events cannot occur at the same time. The answer is B) 0.
In the case of independent events A and B with P(A) = .2 and P(B) = .3, the probability of both A and B occurring, denoted as P(A AND B), is found by multiplying their individual probabilities: 0.2 x 0.3 = 0.06, which matches option D. Therefore, P(A AND B) equals D) .06.