Question

A Coin is tossed 500 times with the following frequences : Head : 235 , Tail : 265 The coin is tossed once again, probability of getting a Tail is : a) 0.5 b) 0.47 c) 0.45 d) 0.53

Answer 1

265/500
=0.53
answer is d

hope it helps↑

Answer 2

The probability of getting a Tail is  0.53 if a Coin is tossed 500 times with the following frequencies : Head : 235 , Tail : 265

Given:

• A Coin is tossed 500 times resulting in following frequencies
• Head : 235
• Tail : 265

To Find:

• Probability of getting a Tail  if coin is tossed again

Solution:

• Experimental probability is the ratio comparing the number of times an event occurred to the number of trials.
• Probability of an event  = n(E)/n(S)  
• n(E) = number of times  event occurred
• n(S) = number of trials
• P(E) + P('not E') = 1

Step 1:

A Coin is tossed 500 times hence number of trials = 500

n(S) = 500

Step 2:

Number of times tails occurred = 265

n(T) = 265

Step 3:

Find probability of occurring Tail P(T)

P(T) = n(T)/n(S)

P(T) = 265/500

P(T) = 0.53

The probability of getting a Tail is  0.53

Correct option is d) 0.53