A coin is tossed twice. Find the probability of getting :
(i) exactly one head
(ii) exactly one tail
(iii) two tails
(iv) two heads

Question

A coin is tossed twice. Find the probability of getting : (i) exactly one head (ii) exactly one tail (iii) two tails (iv) two heads

KnowledgeBoat · Accepted Answer

When a coin is tossed, each toss has 2 possible outcomes : head (H) or tail (T). The number of possible outcomes when a coin is tossed n times = 2ⁿ For this case, n = 2 So, 2² = 4 The number of possible outcomes when a coin is tossed 2 times is 4. (i) Number of favourable outcomes (Getting exactly one head) = 2 (HT, TH) Total number of outcomes = 4 P(Getting exactly one head) = = = Hence, the probability of getting exactly one head is . (ii) Number of favourable outcomes (Getting exactly one tail) = 2 (HT, TH) Total number of outcomes = 4 P(Getting exactly one tail) = = = Hence, the probability of getting exactly one tail is . (iii) Number of favourable outcomes (Getting two tails) = 1 (TT) Total number of outcomes = 4 P(Getting two tails) = = Hence, the probability of getting two tails is . (iv) Number of favourable outcomes (Getting two heads) = 1 (HH) Total number of outcomes = 4 P(Getting two heads) = = Hence, the probability of getting two heads is .

Mathematics

A coin is tossed twice. Find the probability of getting :
(i) exactly one head
(ii) exactly one tail
(iii) two tails
(iv) two heads

Probability

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Mathematics

A coin is tossed twice. Find the probability of getting :(i) exactly one head(ii) exactly one tail(iii) two tails(iv) two heads

Probability

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A coin is tossed twice. Find the probability of getting :
(i) exactly one head
(ii) exactly one tail
(iii) two tails
(iv) two heads

A bag contains a black ball, a red ball and a green ball, all the balls are identical in shape and size. A ball is drawn from the bag without looking into it. What is the probability that the ball drawn is :
(i) a red ball
(ii) not a red ball
(iii) a white ball.