Here we will learn how to find the probability of tossing two coins.
Let us take the experiment of tossing two coins simultaneously:
When we toss two coins simultaneously then the possible of outcomes are: (two heads) or (one head and one tail) or (two tails) i.e., in short (H, H) or (H, T) or (T, T) respectively; where H is denoted for head and T is denoted for tail.
Therefore, total numbers of outcome are 2^{2} = 4The above explanation will help us to solve the problems on finding the probability of tossing two coins.
Worked-out problems on probability involving tossing or flipping two coins:
1. Two different coins are tossed randomly. Find the probability of:
(i) getting two heads
(ii) getting two tails
(iii) getting one tail
(iv) getting no head
(v) getting no tail
(vi) getting at least 1 head
(vii) getting at least 1 tail
(viii) getting atmost 1 tail
(ix) getting 1 head and 1 tail
Solution:
When two different coins are tossed randomly, the sample space is given by
S = {HH, HT, TH, TT}
Therefore, n(S) = 4.
(i) getting two heads:
Let E_{1} = event of getting 2 heads. Then,(ii) getting two tails:
Let E_{2} = event of getting 2 tails. Then,(iii) getting one tail:
Let E_{3} = event of getting 1 tail. Then,(iv) getting no head:
Let E_{4} = event of getting no head. Then,(v) getting no tail:
Let E_{5} = event of getting no tail. Then,(vi) getting at least 1 head:
Let E_{6} = event of getting at least 1 head. Then,(vii) getting at least 1 tail:
Let E_{7} = event of getting at least 1 tail. Then,(viii) getting atmost 1 tail:
Let E_{8} = event of getting atmost 1 tail. Then,(ix) getting 1 head and 1 tail:
Let E_{9} = event of getting 1 head and 1 tail. Then,The solved examples involving probability of tossing two coins will help us to practice different questions provided in the sheets for flipping 2 coins.
Probability
Probability of Tossing Two Coins
Probability of Tossing Three Coins
Probability for Rolling Two Dice
Probability for Rolling Three Dice
From Probability of Tossing Two Coins to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
May 24, 24 06:42 PM
May 24, 24 06:23 PM
May 24, 24 06:22 PM
May 24, 24 05:37 PM
May 24, 24 05:09 PM
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.