Question

甲、乙兩顆衛(wèi)星同時(shí)監(jiān)測(cè)臺(tái)風(fēng).在同一時(shí)刻,甲、乙兩顆衛(wèi)星準(zhǔn)確預(yù)報(bào)臺(tái)風(fēng)的概率分別為0.8、0.75,則在同一時(shí)刻至少有一顆衛(wèi)星預(yù)報(bào)準(zhǔn)確的概率為______________.

Answer 1

解析：甲、乙都預(yù)報(bào)準(zhǔn)確的概率為0.8×0.75=0.6;甲預(yù)報(bào)準(zhǔn)確而乙預(yù)報(bào)不準(zhǔn)確的概率為0.8×(1-0.75)=0.2;甲預(yù)報(bào)不準(zhǔn)確而乙預(yù)報(bào)準(zhǔn)確的概率為(1-0.8)×0.75=0.15.

    綜上知P=0.6+0.2+0.15=0.95.或用間接法:P=1-(1-0.8)(1-0.75)=0.95.

答案：0.95