Three coins are tossed. (a) Find the probability of getting no heads. (b) Find the probability of

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Three coins are tossed.

(a) Find the probability of getting no heads.

(b) Find the probability of getting at least one head.

(c) Show that the event "heads on the first coin" and the event "tails on the last two coins" are independent.

(d) Show that the event "only two coins heads" and the event "three coins heads" are dependent and mutually exclusive.

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