Q. 34.1( 9 Votes )

# Three coins are tossed 200 times and we get

three heads:39 times; two heads: 58 times;

one head :67 times: 0 head: 36 times.

When there coins are tossed at random, what is the probability of getting

(i) 3 heads? (ii) 1 head? (iii) 0 head (iv) 2 heads?

Answer :

Total number times coins tossed: 200

Number of times Three heads occurred: 39

Number of times Two head occurred: 58

Number of times One heads occurred: 67

Number of times No(Zero) head occurred: 36

Probability P() =

(i). Let P(H_{1}) be probability of getting Three heads

P (H_{1}) =

P (H_{1}) = = 0.195

(ii). Let P(H_{2}) be probability of getting One head

P (H_{2}) =

P(H_{2}) = = 0.335

(iii). Let P(H_{3}) be probability of getting No heads (zero heads)

P (H_{3}) =

P (H_{3}) = = 0.18

(iv). Let P(H_{4}) be probability of getting Two heads

P (H_{4}) =

P (H_{4}) = = 0.29

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