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A coin is tossed 1000 times with the following frequencies:
Head: 445, Tail: 555
When a coin is tossed at random, what is the probability of getting?
(i). a head?
(ii). a tail?
Total number of times a coin is tossed = 1000
Number of times a head comes up = 445
Number of times a tail comes up = 555
A die is thrown 100 times and outcomes are noted as given below:
If a die is thrown at random, find the probability of getting a/an:
(i) 3 (ii) 5 (iii) 4 (iv) Even number (v) Odd number (vi) Number less than 3.
Total number of trials = 100
Number of times “1” comes up = 21
Number of times “2” comes up = 9
Number of times “3” comes up = 14
Number of times “4” comes up = 23
Number of times “5” comes up = 18
Number of times “6” comes up = 15
(iv) Frequency of getting an even no. = Frequency of 2 + Frequency of 4 + Frequency of 6 = 9 + 23 + 15 = 47
(v) Frequency of getting an odd no. = Frequency of 1 + Frequency of 3 + Frequency of 5 = 21 + 14 + 18 = 53
A box contains two pair of socks of two colours (black and white). I have picked out a white sock. I pick out one more with my eyes closed. What is the probability that I will make a pair?
No. of socks in the box = 4
Let B and W denote black and white socks respectively. Then we have:
S = {B,B,W,W}
If a white sock is picked out, then the total no. of socks left in the box = 3
No. of white socks left = 2 – 1 = 1
Two coins are tossed simultaneously 500 times and the outcomes are noted as given below:
If same pair of coins is tossed at random, find the probability of getting:
(i) Two heads (ii) One head (iii) No head.
Number of trials = 500
Number of outcomes of two heads (HH) = 105
Number of outcomes of one head (HT or TH) = 275
Number of outcomes of no head (TT) = 120
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