<\/p>\n
<\/p>\n
Assertion (A) states that the probability of getting two heads when two coins are tossed simultaneously and at least one head comes up is 1\/3.<\/p>\n
Reason (R) states that if E and F are two events in a random experiment, then the conditional probability of F given E is equal to the probability of the intersection of E and F divided by the probability of E.<\/p>\n
The reason is a general rule for conditional probability and is correct. However, it is not directly related to the assertion.<\/p>\n
To find the probability of getting two heads when at least one head comes up, we can use the formula for conditional probability:<\/p>\n
P(A\/B) = P(A and B) \/ P(B)<\/p>\n
Here, let A be the event of getting two heads and B be the event of getting at least one head. Then, we have:<\/p>\n
P(A and B) = P(A) = 1\/4, since there is only one way to get two heads out of four possible outcomes when two coins are tossed.<\/p>\n
P(B) = 3\/4, since there are three possible outcomes out of four when at least one head comes up (HH, HT, TH).<\/p>\n
Therefore, the conditional probability of getting two heads given that at least one head comes up is:<\/p>\n
P(A\/B) = P(A and B) \/ P(B) = (1\/4) \/ (3\/4) = 1\/3<\/p>\n
So, the assertion is true and the reason is also true, but the reason does not explain or justify the assertion. Hence, the correct option is (A).<\/p>\n","protected":false},"excerpt":{"rendered":"
Question: Assertion (A): Two coins are tossed simultaneously.the probability of getting two heads,if is known that at one least one head comes up,is 1\/3 Reason (R): let E and F be two event with a random experiment,then p(F\/E)=p(E^F)\/P(E). The correct answer is – Assertion (A) states that the probability of getting two heads […]<\/p>\n","protected":false},"author":21842,"featured_media":132233,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12119],"tags":[],"class_list":{"0":"post-133938","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-quiz"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/133938","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/users\/21842"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/comments?post=133938"}],"version-history":[{"count":1,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/133938\/revisions"}],"predecessor-version":[{"id":133939,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/133938\/revisions\/133939"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media\/132233"}],"wp:attachment":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media?parent=133938"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/categories?post=133938"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/tags?post=133938"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}