Three coins are tossed simultaneously 150 times with the following frequencies of different outcomes. No. of tails 0 1 2 3 Frequency 23 28 42 57 The probability of getting at least 2 tails (to two decimal places) is:A) 0.22B) 0.7C) 0.66D) 0.74
Question
Three coins are tossed simultaneously 150 times with the following frequencies of different outcomes. No. of tails 0 1 2 3 Frequency 23 28 42 57 The probability of getting at least 2 tails (to two decimal places) is:A) 0.22B) 0.7C) 0.66D) 0.74
Solution
To find the probability of getting at least 2 tails, we need to calculate the probability of getting 2 tails and the probability of getting 3 tails, and then add them together.
The frequency of getting 2 tails is 42, and the frequency of getting 3 tails is 57. To find the probability, we divide these frequencies by the total number of tosses, which is 150.
The probability of getting 2 tails is 42/150 = 0.28, and the probability of getting 3 tails is 57/150 = 0.38.
To find the probability of getting at least 2 tails, we add these probabilities together: 0.28 + 0.38 = 0.66.
Therefore, the probability of getting at least 2 tails is 0.66, which corresponds to option C.
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