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Probability

Short Answer Type

171.

Two coins ar tossed once. Write the probability of getting.
(a) At least one head

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172. Find the probability of getting a head when a coin is tossed once. Also find the probability of getting a tail.

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173. A pair of coin is thrown once. Find the probability of (i) One Head, (ii) Two Tails.

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174.

Two coins are tossed simultaneously. Find the probability of getting.
(i) two heads, (ii) at least one head, (iii) no head.

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175. Two unbiased coins are tossed once. What is the probability of getting exactly one head.

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176. Justify the statement: “Tossing a coin is a fair way of deciding which team should get the batting first at the beginning of a cricket game.”

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177. A die is thrown once, find the probability of getting a prime number.

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178. A die is rolled once, find the probability of getting a number greater than 2.

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179. A die is thrown once. What is the probability of getting a number 5 or 6?

If we throw a die once, then possible outcomes (s), are
S = {1, 2, 3, 4, 5, 6}
⇒ n(S) = 6
Let E be the favourable outcomes of getting a number 5 or 6, then
E = (5, 6}
⇒ n (E) = 2

Therefore, P(E) = $fraction numerator straight n left parenthesis straight E right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 2 over 6 equals 1 third.$

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180.

A die is thrown once. Find the probability of getting
(i)    an even number.
(ii)    a number greater than 3.
(iii)    a number between 3 and 6.

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