Question

If five coins are tossed simultaneously, list the sample space with the help of a tree diagram and find the
probability of getting
(i) three heads
(ii) at least two heads​

Answer 1

Answer:

Total number of trials = 250.

Number of times three heads appeared = 70.

Number of times two heads appeared = 55.

Number of times one head appeared = 75.

Number of times no head appeared = 50.

In a random toss of 3 coins, let E1, E2, E3 and E4 be the events of getting three heads, two heads, one head and 0 head respectively. Then,

(i) getting three heads

P(getting three heads) = P(E1)

Number of times three heads appeared

= Total number of trials

= 70/250

= 0.28

(ii) getting two heads

P(getting two heads) = P(E2)

Number of times two heads appeared

= Total number of trials

= 55/250

= 0.22