Question

five coins are tossed simultaneously, what is the probability of getting:
(a) Five heads
(b) Five tails
(c) Four heads and one tail
(d) At least two heads
(e) Less than three heads
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Answer 1

Step-by-step explanation:

When three coins are tossed together, the total number of outcomes =8

i.e., (HHH,HHT,HTH,THH,TTH,THT,HTT,TTT)

Solution (i):

Let E be the event of getting exactly two heads

Therefore, no. of favorable events, n(E)=3(i.e.,HHT,HTH,THH)

We know that, P(E) =

(Total no.of possible outcomes)

(No.of favorable outcomes)

=

8

3

Solution (ii):

Let F be the event of getting atmost two heads

Therefore, no. of favorable events, n(E)=7(i.e.,HHT,HTH,TTT,THH,TTH,THT,HTT)

We know that, P(F) =

(Total no.of possible outcomes)

(No.of favorable outcomes)

=

8

7

Answer 2

Answer:

Five heads . I think. Have a great day.

Step-by-step explanation:

Good morning.