Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes:
Outcome 3 Head 2 Head 1 Head No Head Frequency 23 72 77 28
Three coins are tossed simultaneously, compute the probability of
  1. 2 Heads coming up
  2. 1 Head coming up

Answer :

We have :
Outcome 3 Heads 2 Heads 1 Heads No Heads
Frequency 23 72 77 28

We know probability p ( E ) = Number of desired events n (E )Total number of events n ( S )

Here Total number of events n ( S ) =  23  + 72 + 77 + 28 =  200
And

1 ) Number of desired event , when 2 heads coming up  n ( E ) = 72
So,

Probability of getting two heads  = 72200 = 925                                                                   ( Ans )

2 ) Number of desired event , when 1 head coming up  n ( E ) = 77
So,

Probability of getting one head  = 77200                                                                   ( Ans )

  • 0
the probability for 2 heads is 0.36
and 1 head is 0.385
  • 1
2 heads - 9/25
1 head - 77/200
  • -1
What are you looking for?