Three coins are tossed together find the probability of getting two heads

Question 7 Probability Exercise 13.1

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Answer:

Solution:

Probability refers to a result's chance or potential. It describes the likelihood of a specific occurrence.

Given: Three coins are tossed simultaneously.

When three coins are tossed then the outcome will be anyone of these combinations.

TTT, THT, TTH, THH. HTT, HHT, HTH, HHH.

So, the total number of outcomes is 8.

For exactly two heads, the favourable outcome are THH, HHT, HTH

So, the total number of favourable outcomes is 3.

We know that, Probability = Number of favourable outcomes/ Total number of outcomes

Thus, the probability of getting exactly two heads is 3/8

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Three different coins are tossed together. Find the probability of getting(i) exactly two heads(ii) at least two heads

(iii) at least two tails.

When three coins are tossed together, the possible outcomes areHHH, HTH, HHT, THH, THT, TTH, HTT, TTTtherefore,Total number of possible outcomes = 8(i) Favourable outcomes of exactly two heads are HTH, HHT, THHTotal number of favourable outcomes= 3Probability of getting exactly two heads = 3/8(ii) Favourable outcomes of at least two heads are HHH, HTH, HHT, THHTotal number of favourable outcomes =4Probability of getting at least two heads =4/8 = 1/2(iii)Favourable outcomes of at least two tails are THT, TTH, HTT, TTTTotal number of favourable outcomes =4

Probability of getting at least two tails - 4/8 = 1/2

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