Mathematics: Three coins are dropped on a table. a. list all possible outcomes in the sample space. b. find the probability associated with each outcome. c. let abe the event “exactly 2 heads.” find p(a). d. let bbe the event “at most 1 head.” find p(b). e. let cbe the event “at least 2 heads.” find p(c). f. are the events aand bmutually exclusive? find p(aor b). g. are the events aand cmutually exclusive? find p(aor c).

Three coins are dropped on a table. a. list all - id1731130, rileyallen4186pd5tgy

Ответ:

sulemmaa

30.12.2021

Mathematics

(a) S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

(b) $\frac{1}{8}$

(d) $(\frac{1}{2})^3 + \binom{3}{1} (\frac{1}{2})^3 = \frac{1}{8} + \frac{3}{8} = \frac{1}{2}$

(e) $1 - \frac{1}{2} = \frac{1}{2}$

(f) Yes, because $P(A \cap B) = 0$ . Therefore $P(A \cup B) = P(A) + P(B) = \frac{3}{8} + \frac{1}{2} = \frac{7}{8}$

(g) No, because $P(A \cap C) = \frac{3}{8}$ . Therefore $P(A \cup C) = P(A) + P(C) - P(A \cap C) = \frac{3}{8} + \frac{1}{2} - \frac{3}{8} = \frac{1}{2}$

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Ответ:

Tierriny576

17.09.2020

Mathematics

C. 44 cm, 30cm, and 16 cm

Step-by-step explanation:

Sana nakatulong

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